* [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 191 additional inputs, on iter 1 have 65 / 256
* * * * [misc]points:  Computing exacts on every 11 of 191 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 191 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 191 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 191 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 137 additional inputs, on iter 2 have 119 / 256
* * * * [misc]points:  Computing exacts on every 8 of 137 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 137 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 137 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 137 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 112 additional inputs, on iter 3 have 144 / 256
* * * * [misc]points:  Computing exacts on every 7 of 112 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 112 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 112 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 84 additional inputs, on iter 4 have 172 / 256
* * * * [misc]points:  Computing exacts on every 5 of 84 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 84 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 84 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 65 additional inputs, on iter 5 have 191 / 256
* * * * [misc]points:  Computing exacts on every 4 of 65 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 65 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 65 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 49 additional inputs, on iter 6 have 207 / 256
* * * * [misc]points:  Computing exacts on every 3 of 49 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 49 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 34 additional inputs, on iter 7 have 222 / 256
* * * * [misc]points:  Computing exacts on every 2 of 34 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 34 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 9 additional inputs, on iter 10 have 247 / 256
* * * * [misc]points:  Computing exacts for 9 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 11 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 5 additional inputs, on iter 12 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 13 have 253 / 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 14 have 253 / 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 253 / 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
* * * * [exit]points:  Sampled 258 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))
* [misc]approximate:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) into (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))
* [misc]approximate:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) into (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI (/ 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:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ 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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ 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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3)))
* [misc]backup-simplify:  Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI (/ 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:  [ 4 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (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)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI (/ 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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* 1/4 (/ PI (/ 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (exp (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))))
* * * * [misc]progress:  [ 2 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (pow (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1))))))>
* * * * [misc]progress:  [ 3 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (exp (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 4 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 5 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 6 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 7 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 8 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))))>
* * * * [misc]progress:  [ 9 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (- (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 10 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 11 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 12 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))
* [misc]simplify:  Simplified (2 1 2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))))))))
* * * * [misc]progress:  [ 13 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))
* [misc]simplify:  Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))))
* * * * [misc]progress:  [ 14 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (- (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 15 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (pow (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)))))>
* * * * [misc]progress:  [ 16 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* [exit]simplify:  Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (- (log (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))))
* * * * [misc]progress:  [ 17 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 18 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (log (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 19 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (cbrt (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (170 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) 3)
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (cbrt (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) 3))))))
* * * * [misc]progress:  [ 20 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 21 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (cbrt (* (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 22 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 23 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 24 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))))
* * * * [misc]progress:  [ 25 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))))
* * * * [misc]progress:  [ 26 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))
* * * * [misc]progress:  [ 27 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))))))))
* * * * [misc]progress:  [ 28 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))
* * * * [misc]progress:  [ 29 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))))
* * * * [misc]progress:  [ 30 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))))
* * * * [misc]progress:  [ 31 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))
* * * * [misc]progress:  [ 32 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))))))))
* * * * [misc]progress:  [ 33 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))
* * * * [misc]progress:  [ 34 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))))
* * * * [misc]progress:  [ 35 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))))
* * * * [misc]progress:  [ 36 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))))
* * * * [misc]progress:  [ 37 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))))))))
* * * * [misc]progress:  [ 38 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))))
* * * * [misc]progress:  [ 39 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))))
* * * * [misc]progress:  [ 40 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))))
* * * * [misc]progress:  [ 41 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))))
* * * * [misc]progress:  [ 42 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))))))))
* * * * [misc]progress:  [ 43 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))))
* * * * [misc]progress:  [ 44 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 45 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 46 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ 1 (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 47 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))))))
* * * * [misc]progress:  [ 48 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))))))
* * * * [misc]progress:  [ 49 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))
* * * * [misc]progress:  [ 50 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))))))
* * * * [misc]progress:  [ 51 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))
* * * * [misc]progress:  [ 52 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 53 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 54 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ 1 (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 55 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ 1 (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 56 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (+ (+ (pow (* (exp f) (exp f)) (- (/ PI 4))) (exp (* (+ f f) (/ PI 4)))) 1)
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) (+ (+ (pow (* (exp f) (exp f)) (- (/ PI 4))) (exp (* (+ f f) (/ PI 4)))) 1))))))
* * * * [misc]progress:  [ 57 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* [exit]simplify:  Simplified to (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))))
* * * * [misc]progress:  [ 58 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))))>
* [enter]simplify:  Simplifying (+ (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (+ (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))))
* * * * [misc]progress:  [ 59 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (214 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 60 / 182 ] simplifiying candidate #<alt (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)))>
* [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 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) 1)))
* * * * [misc]progress:  [ 61 / 182 ] simplifiying candidate #<alt (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)))>
* * * * [misc]progress:  [ 62 / 182 ] simplifiying candidate #<alt (λ (f) (- (exp (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ PI 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ PI 4))))))
* * * * [misc]progress:  [ 63 / 182 ] simplifiying candidate #<alt (λ (f) (- (exp (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (log (/ PI 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (log (/ PI 4))))))
* * * * [misc]progress:  [ 64 / 182 ] simplifiying candidate #<alt (λ (f) (- (exp (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 65 / 182 ] simplifiying candidate #<alt (λ (f) (- (log (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 66 / 182 ] simplifiying candidate #<alt (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (371 enodes)
* [exit]simplify:  Simplified to (* (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4))))))))
* * * * [misc]progress:  [ 67 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 68 / 182 ] simplifiying candidate #<alt (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 69 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 70 / 182 ] simplifiying candidate #<alt (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 71 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (/ (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 72 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 73 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))))))
* * * * [misc]progress:  [ 74 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))))))
* * * * [misc]progress:  [ 75 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 76 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (412 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 77 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 78 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))))))
* * * * [misc]progress:  [ 79 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))))))
* * * * [misc]progress:  [ 80 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 81 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (412 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 82 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 83 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 84 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 85 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [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 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 86 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))))))
* * * * [misc]progress:  [ 87 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [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 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 88 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 89 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 90 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [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 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 91 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))))))
* * * * [misc]progress:  [ 92 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [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 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 93 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 94 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (385 enodes)
* [exit]simplify:  Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (/ 4 PI))))))
* * * * [misc]progress:  [ 95 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ 1 (exp (* (+ f f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ 1 (exp (* (+ f f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 96 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4)))))
* * * * [misc]progress:  [ 97 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 98 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 99 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (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 (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (419 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 100 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (419 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 101 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 102 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (430 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 103 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 104 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (419 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 105 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (419 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 106 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 107 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (430 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 108 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 109 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 110 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 111 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 112 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 113 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 114 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 115 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 116 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 117 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 118 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 119 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 120 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (/ (log (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4)))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (/ (log (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4))))))
* * * * [misc]progress:  [ 121 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* * [misc]simplify:  iters left: 2 (433 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (+ 1 (exp (/ (+ f f) (/ 4 PI)))) (pow (exp (/ PI 4)) (- (+ f f))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (+ (+ 1 (exp (/ (+ f f) (/ 4 PI)))) (pow (exp (/ PI 4)) (- (+ f f)))))))))
* * * * [misc]progress:  [ 122 / 182 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (log (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)))))
* * * * [misc]progress:  [ 123 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))
* * * * [misc]progress:  [ 124 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))
* * * * [misc]progress:  [ 125 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))
* * * * [misc]progress:  [ 126 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))
* * * * [misc]progress:  [ 127 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4)))) (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 128 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 129 / 182 ] simplifiying candidate #<alt (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 130 / 182 ] simplifiying candidate #<alt (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 131 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 PI) (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (* (/ 1 PI) (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 132 / 182 ] simplifiying candidate #<alt (λ (f) (- (/ (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))))
* * * * [misc]progress:  [ 133 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))))>
* * * * [misc]progress:  [ 134 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 135 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 136 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 137 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (log (* (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 138 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 139 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (log (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 140 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 141 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (* (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (* (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 142 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 143 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 144 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (/ (* f PI) 4))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (/ (* f PI) 4)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 145 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 146 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (- (+ (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (+ (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 147 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 148 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 149 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 150 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 151 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (- (+ (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (+ (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 152 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 153 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 154 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 155 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 156 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 157 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 158 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (330 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))
* * * * [misc]progress:  [ 159 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (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)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (369 enodes)
* [exit]simplify:  Simplified to (- (log (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 160 / 182 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 161 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 162 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))))>
* * * * [misc]progress:  [ 163 / 182 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 164 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))
* * * * [misc]progress:  [ 165 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 166 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 167 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 168 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (cbrt (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 169 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 170 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 171 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (334 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2)))))))
* * * * [misc]progress:  [ 172 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))))>
* [enter]simplify:  Simplifying (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* [exit]simplify:  Simplified to (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI))))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))))))
* * * * [misc]progress:  [ 173 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))))>
* [enter]simplify:  Simplifying (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))))
* * * * [misc]progress:  [ 174 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (315 enodes)
* [exit]simplify:  Simplified to (- (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* 1/2880 (* PI PI)) (* (* f f) (* PI f))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* 1/2880 (* PI PI)) (* (* f f) (* PI f))))))))
* * * * [misc]progress:  [ 175 / 182 ] 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 (/ (+ (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 (26 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* [exit]simplify:  Simplified to (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (- 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (- 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))))))
* * * * [misc]progress:  [ 176 / 182 ] 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 (/ (+ (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 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (42 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 2 1) 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:  [ 177 / 182 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 178 / 182 ] 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (* (* PI 1/4) (- f))) (pow (exp 1/4) (* PI f))) (+ (/ (- 1) (pow (exp 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (* (/ 4 PI) (log (/ (+ (exp (* (* PI 1/4) (- f))) (pow (exp 1/4) (* PI f))) (+ (/ (- 1) (pow (exp 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))))))
* * * * [misc]progress:  [ 179 / 182 ] 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (116 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))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1) 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))))) (/ 4 PI))))
* * * * [misc]progress:  [ 180 / 182 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))>
* [enter]simplify:  Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (+ (- (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) 7/23040)) (- (log (/ 4 PI)) (log f)))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) 7/23040)) (- (log (/ 4 PI)) (log f))))))
* * * * [misc]progress:  [ 181 / 182 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI))))))))
* * * * [misc]progress:  [ 182 / 182 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (49 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 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:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1 2 2 1 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1 2 2 2 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1 2 2 1 2 2)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1 2 2 2 2 2)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* f PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* f PI) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 3) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* f PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* f PI) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 3) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow PI 3)) into (pow PI 3)
* [misc]backup-simplify:  Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (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)))) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow PI 5)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 f) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* 1 PI) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 f) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* 1 PI) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (* (pow f -3) (pow PI 3)) into (/ (pow PI 3) (pow f 3))
* [misc]backup-simplify:  Simplify (* 1/192 (/ (pow PI 3) (pow f 3))) into (* 1/192 (/ (pow PI 3) (pow f 3)))
* [misc]backup-simplify:  Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5)))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))
* [misc]backup-simplify:  Simplify (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) into (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow f -3) 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (/ (pow PI 3) (pow f 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 2)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))) into (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 4)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 6)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 8)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 8)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 4)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 6)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 4)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 8)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 4))) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 4)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 8))) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 8)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 6))) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 6)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 6)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))))))))))))) (pow (/ 1 f) 2)) (+ (* (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 4)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 4)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 2)) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) (/ 1 f)) (+ (log (/ 1 f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) PI)))))) into (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (/ 1 f)) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 7/92160 (/ (* (pow f 4) (* (pow PI 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow f 4) (* (pow PI 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/30720 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- f)) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* -1 PI) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- f)) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* -1 PI) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) into (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 1)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 2)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))))))))))))) 1)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))))))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 3 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))))))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 3 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))))))))))))))))) into (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))))))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 4))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 6) (exp (* 5 (- (log -1) (log (/ 1 (- f))))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 8))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))))))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2) (pow PI 4))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log (/ 1 (- f))))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 8) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2)))))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 4))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 2))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (/ 1 (- f))) (+ (log (/ 1 (- f))) (log (* -2 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) PI)))))) into (- (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 8))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (/ -1 f)) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 8) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 4) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 2))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 4))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 8))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))))))))))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) in f
* [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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* f PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* f PI) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 3) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) in f
* [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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* f PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* f PI) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 3) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow PI 3)) into (pow PI 3)
* [misc]backup-simplify:  Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow PI 5)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3)))
* [misc]backup-simplify:  Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))))) in f
* [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 (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 f) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* 1 PI) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))))) in f
* [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 (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 f) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* 1 PI) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))) into (* 4 (/ (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) into (* 4 (/ (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (* (pow f -3) (pow PI 3)) into (/ (pow PI 3) (pow f 3))
* [misc]backup-simplify:  Simplify (* 1/192 (/ (pow PI 3) (pow f 3))) into (* 1/192 (/ (pow PI 3) (pow f 3)))
* [misc]backup-simplify:  Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5)))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (* 0 (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) into (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow f -3) 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (/ (pow PI 3) (pow f 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 2)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))) (+ (* 0 (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (* 0 (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))))) into (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 7))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 5))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 7))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 5))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))) into (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 7))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 5))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 7)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 3)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 7)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 5)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 5)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))))))))))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 5)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 7))) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 5))) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 3)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 7)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 5)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 3)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 3))) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 7)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2))))))))))))) (pow (/ 1 f) 2)) (+ (* (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 3)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) PI) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) PI) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) (/ 1 f)) (* 4 (/ (+ (log (/ 1 f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) PI)))) PI)))) into (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) PI)) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/235929600 (/ (* (pow f 8) (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow f 4) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* PI (* (pow f 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow f 8) (* (pow PI 7) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow f 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/737280 (/ (* (pow f 6) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))))) in f
* [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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- f)) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* -1 PI) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))))) in f
* [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 (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- f)) PI) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]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 (* -1 PI) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))) into (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) PI)) into (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) into (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 1)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) (* 0 (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))))) into (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 2)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI 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(pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ 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* [misc]backup-simplify:  Simplify (- (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))) (+ 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* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 3))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) 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(* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 7) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2))))))))))))))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (* (log PI) 3)))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 2 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* PI PI) PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 3 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow (pow PI 3) 1))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 4 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (log (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 5 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (log (exp (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 6 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* (cbrt (pow PI 3)) (cbrt (pow PI 3))) (cbrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 7 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (cbrt (* (* (pow PI 3) (pow PI 3)) (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 8 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* PI (* PI PI)))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 9 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (sqrt (pow PI 3)) (sqrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 10 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* 1 (pow PI 3)))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* * * * [misc]progress:  [ 11 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (exp (* (log PI) 5)))))))))))>
* * * * [misc]progress:  [ 12 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow (pow PI 5) 1))))))))))>
* * * * [misc]progress:  [ 13 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (exp (log (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 14 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (log (exp (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 15 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (* (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) (cbrt (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 16 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (cbrt (* (* (pow PI 5) (pow PI 5)) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 17 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (* (sqrt (pow PI 5)) (sqrt (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 18 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (* 1 (pow PI 5)))))))))))>
* * * * [misc]progress:  [ 19 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f PI) (* f PI)) (* 1/192 (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f PI) (* f PI)) (* 1/192 (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f PI) (* f PI)) (* 1/192 (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f PI) (* f PI)) (* 1/192 (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 20 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* * [misc]simplify:  iters left: 2 (379 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 21 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* * [misc]simplify:  iters left: 2 (448 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f PI) (* f PI)) (* (* f PI) 1/192)) (* PI (* f 1/2))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f PI) (* f PI)) (* (* f PI) 1/192)) (* PI (* f 1/2))) (* (pow PI 5) (* (pow f 5) 1/61440)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f PI) (* f PI)) (* (* f PI) 1/192)) (* PI (* f 1/2))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f PI) (* f PI)) (* (* f PI) 1/192)) (* PI (* f 1/2))) (* (pow PI 5) (* (pow f 5) 1/61440))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 22 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* * [misc]simplify:  iters left: 2 (406 enodes)
* [exit]simplify:  Simplified to (log (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (sqrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f PI) PI) (* (* 1/192 f) (* f PI))) (* f (* 1/2 PI)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (sqrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f PI) PI) (* (* 1/192 f) (* f PI))) (* f (* 1/2 PI))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 23 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 24 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* * [misc]simplify:  iters left: 2 (407 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)) (* PI (* 1/2 f))) (* (pow PI 5) (* (pow f 5) 1/61440))))) (cbrt (+ (+ (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)) (* PI (* 1/2 f))) (* (pow PI 5) (* (pow f 5) 1/61440))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)) (* PI (* 1/2 f))) (* (pow PI 5) (* (pow f 5) 1/61440))))) (cbrt (+ (+ (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)) (* PI (* 1/2 f))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 25 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (* f (* PI 1/2)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (* f (* PI 1/2))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 26 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 27 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 28 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* PI (* f 1/2))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* PI (* f 1/2)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 29 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 30 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 31 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* PI (* f 1/2))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* PI (* f 1/2)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 32 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 33 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 34 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 35 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3)))) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (183 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (pow (+ (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))) (* (pow PI 5) (* (pow f 5) 1/61440))) 3) (pow (* PI (* f 1/2)) 3))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (pow (+ (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))) (* (pow PI 5) (* (pow f 5) 1/61440))) 3) (pow (* PI (* f 1/2)) 3)))) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))
* * * * [misc]progress:  [ 36 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (227 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* PI (* f 1/2)) (* PI (* f 1/2))) (* (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))) (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (pow f 5) (* 1/61440 (pow PI 5))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* PI (* f 1/2)) (* PI (* f 1/2))) (* (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))) (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))
* * * * [misc]progress:  [ 37 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))
* * * * [misc]progress:  [ 38 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* * * * [misc]progress:  [ 39 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) 1))))>
* * * * [misc]progress:  [ 40 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))
* * * * [misc]progress:  [ 41 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* 1/192 PI) (* f PI)) (* (* f PI) f)) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* 1/192 PI) (* f PI)) (* (* f PI) f)) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))))))
* * * * [misc]progress:  [ 42 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 43 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 44 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 45 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (cbrt (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 46 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 47 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* * * * [misc]progress:  [ 48 / 113 ] simplifiying candidate #<alt (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) 1)))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (pow (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI)) 1)))
* * * * [misc]progress:  [ 49 / 113 ] simplifiying candidate #<alt (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) 1)))>
* * * * [misc]progress:  [ 50 / 113 ] simplifiying candidate #<alt (λ (f) (- (exp (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (246 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* (* f PI) (* f PI)) (* (* f PI) 1/192)) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* PI (* f 1/2))))))) (log (/ PI 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* (* f PI) (* f PI)) (* (* f PI) 1/192)) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* PI (* f 1/2))))))) (log (/ PI 4))))))
* * * * [misc]progress:  [ 51 / 113 ] simplifiying candidate #<alt (λ (f) (- (exp (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (* (* (* f f) (* f PI)) (* 1/192 (* PI PI))) (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (* f (* PI 1/2))))))) (log (/ PI 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (* (* (* f f) (* f PI)) (* 1/192 (* PI PI))) (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (* f (* PI 1/2))))))) (log (/ PI 4))))))
* * * * [misc]progress:  [ 52 / 113 ] simplifiying candidate #<alt (λ (f) (- (exp (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 53 / 113 ] simplifiying candidate #<alt (λ (f) (- (log (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 54 / 113 ] simplifiying candidate #<alt (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (204 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ 4 PI) 3) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) 1/192) (* (* PI f) (* PI PI))) (* (* PI 1/2) f)))))) (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) 1/192) (* (* PI f) (* PI PI))) (* (* PI 1/2) f))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) 1/192) (* (* PI f) (* PI PI))) (* (* PI 1/2) f)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (pow (/ 4 PI) 3) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) 1/192) (* (* PI f) (* PI PI))) (* (* PI 1/2) f)))))) (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) 1/192) (* (* PI f) (* PI PI))) (* (* PI 1/2) f))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) 1/192) (* (* PI f) (* PI PI))) (* (* PI 1/2) f))))))))))
* * * * [misc]progress:  [ 55 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 56 / 113 ] simplifiying candidate #<alt (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 57 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 58 / 113 ] simplifiying candidate #<alt (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* * * * [misc]progress:  [ 59 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* (* f 1/2) PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* (* f 1/2) PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 60 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (* (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* (* f 1/2) PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* (* f 1/2) PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 61 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 62 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 63 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 PI) f) (* (* PI PI) (* f f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 PI) f) (* (* PI PI) (* f f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 64 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 65 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 66 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 PI) f) (* (* PI PI) (* f f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 PI) f) (* (* PI PI) (* f f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 67 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 68 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 69 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 70 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 71 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f PI) f)) (* (* f 1/2) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 72 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 73 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* PI (* f 1/2)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 74 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* f (* 1/2 PI)) (* (* (* PI 1/192) PI) (* (* f f) (* f PI)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ (- 4) PI) (log (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* f (* 1/2 PI)) (* (* (* PI 1/192) PI) (* (* f f) (* f PI))))))))))
* * * * [misc]progress:  [ 75 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3))))) (* (/ 1 (/ PI 4)) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (313 enodes)
* [exit]simplify:  Simplified to (/ (log (- (* (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (* 1/192 f) f) (* (* f PI) (* PI PI)))) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (* 1/192 f) f) (* (* f PI) (* PI PI))))) (+ (* (* (pow PI 3) (pow f 3)) (* (* 1/2 f) (* PI 1/192))) (- (* (* (* 1/2 PI) (* f 1/61440)) (* (pow f 5) (pow PI 5))) (* (* PI (* 1/2 f)) (* PI (* 1/2 f))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3))))) (/ (log (- (* (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (* 1/192 f) f) (* (* f PI) (* PI PI)))) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (* 1/192 f) f) (* (* f PI) (* PI PI))))) (+ (* (* (pow PI 3) (pow f 3)) (* (* 1/2 f) (* PI 1/192))) (- (* (* (* 1/2 PI) (* f 1/61440)) (* (pow f 5) (pow PI 5))) (* (* PI (* 1/2 f)) (* PI (* 1/2 f))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 76 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (- (* (* f PI) 1/2) (- (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f f) (* f PI)) (* (* PI PI) (- 1/192)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 4 PI) (log (- (* (* f PI) 1/2) (- (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f f) (* f PI)) (* (* PI PI) (- 1/192))))))))))
* * * * [misc]progress:  [ 77 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* * [misc]simplify:  iters left: 2 (497 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* PI (* f PI)) (* (* f PI) (* 1/192 f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* PI (* f PI)) (* (* f PI) (* 1/192 f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5))))))))))
* * * * [misc]progress:  [ 78 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* * [misc]simplify:  iters left: 2 (497 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* PI (* f PI)) (* (* f PI) (* 1/192 f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (sqrt (/ (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* PI (* f PI)) (* (* f PI) (* 1/192 f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5))))))))))
* * * * [misc]progress:  [ 79 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 80 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 81 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (+ (* (* (* f 1/192) PI) (* (* f f) (* PI PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* PI (* 1/2 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (+ (* (* (* f 1/192) PI) (* (* f f) (* PI PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* PI (* 1/2 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 82 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 83 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (+ (* (* (* PI PI) (* f 1/192)) (* f (* f PI))) (* (* PI 1/2) f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 84 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (+ (* (* (* f 1/192) PI) (* (* f f) (* PI PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* PI (* 1/2 f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (+ (* (* (* f 1/192) PI) (* (* f f) (* PI PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* PI (* 1/2 f)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 85 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 86 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 87 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))) (* f (* 1/2 PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))) (* f (* 1/2 PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 88 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 89 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* f f) 1/192) (* (* PI PI) (* f PI))) (+ (* PI (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 90 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))) (* f (* 1/2 PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))) (* f (* 1/2 PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 91 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))) (* f (* 1/2 PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))) (* f (* 1/2 PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 92 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f f) (* f PI)) (* (* PI PI) 1/192)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (- (/ 4 PI)) (log (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* f f) (* f PI)) (* (* PI PI) 1/192))))))))
* * * * [misc]progress:  [ 93 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3)))) (/ 1 (/ PI 4))) (* (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (313 enodes)
* [exit]simplify:  Simplified to (* (log (- (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* 1/192 (* f f)) (* (* PI f) (* PI PI)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* 1/192 (* f f)) (* (* PI f) (* PI PI))))) (+ (* (* (* 1/61440 PI) (* 1/2 f)) (* (pow PI 5) (pow f 5))) (- (* (* (pow PI 3) (pow f 3)) (* (* 1/192 1/2) (* PI f))) (* (* (* PI f) 1/2) (* (* PI f) 1/2)))))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3)))) (/ 1 (/ PI 4))) (* (log (- (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* 1/192 (* f f)) (* (* PI f) (* PI PI)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* 1/192 (* f f)) (* (* PI f) (* PI PI))))) (+ (* (* (* 1/61440 PI) (* 1/2 f)) (* (pow PI 5) (pow f 5))) (- (* (* (pow PI 3) (pow f 3)) (* (* 1/192 1/2) (* PI f))) (* (* (* PI f) 1/2) (* (* PI f) 1/2)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 94 / 113 ] simplifiying candidate #<alt (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (- (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* PI PI) 1/192) (* (* PI f) (* f f))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (- (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* PI PI) 1/192) (* (* PI f) (* f f)))))))))
* * * * [misc]progress:  [ 95 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) (pow PI 5)) 1/61440))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))))
* * * * [misc]progress:  [ 96 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (385 enodes)
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440))))))))
* * * * [misc]progress:  [ 97 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (385 enodes)
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) (pow PI 5)) 1/61440))))))))
* * * * [misc]progress:  [ 98 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) (pow PI 5)) 1/61440))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))))
* * * * [misc]progress:  [ 99 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4)))) (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 100 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 101 / 113 ] simplifiying candidate #<alt (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* * * * [misc]progress:  [ 102 / 113 ] simplifiying candidate #<alt (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* * * * [misc]progress:  [ 103 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 PI) (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (* (/ 1 PI) (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))
* * * * [misc]progress:  [ 104 / 113 ] simplifiying candidate #<alt (λ (f) (- (/ (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* (* f 1/2) PI)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* (* f 1/2) PI))))) (/ PI 4))))
* * * * [misc]progress:  [ 105 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4)))))>
* * * * [misc]progress:  [ 106 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (334 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2)))))))
* * * * [misc]progress:  [ 107 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))>
* [enter]simplify:  Simplifying (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (334 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2)))))))
* * * * [misc]progress:  [ 108 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))>
* [enter]simplify:  Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (+ (- (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) 7/23040)) (- (log (/ 4 PI)) (log f)))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) 7/23040)) (- (log (/ 4 PI)) (log f))))))
* * * * [misc]progress:  [ 109 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (/ 1 f)) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 7/92160 (/ (* (pow f 4) (* (pow PI 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow f 4) (* (pow PI 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/30720 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (/ 1 f)) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 7/92160 (/ (* (pow f 4) (* (pow PI 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow f 4) (* (pow PI 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/30720 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))))))))
* * [misc]simplify:  iters left: 6 (131 enodes)
* * [misc]simplify:  iters left: 5 (373 enodes)
* [exit]simplify:  Simplified to (- (- (+ (+ (- (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (log f)) (+ (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (* (pow PI 8) (pow f 8)) (pow (exp 1/4) (* PI f))) 1/943718400) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (+ (/ (* (* 7/92160 (* (pow PI 4) (pow f 4))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (+ (/ (* (* 1/943718400 (* (pow PI 8) (pow f 8))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* 1/9216 (* (pow (exp 1/4) (* PI f)) (* (pow PI 4) (pow f 4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (log (* 2 (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) PI))))) (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (+ (* (/ 1/18432 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow PI 4) (pow f 4)) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (* (/ 1/943718400 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow f 8) 1) (pow PI 8)) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (* (/ 1/9216 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (pow f 4) (* (pow PI 4) 1)) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))) (+ (+ (+ (/ (* (* 1/96 (* f f)) (* (* PI PI) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* 1/1474560 (pow f 6)) (* (pow PI 6) 1)) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (/ (* (* 1/2949120 (* (pow PI 6) (pow f 6))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))) (+ (* (/ 1/2949120 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (pow PI 6) (pow f 6))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (* (/ 1/1887436800 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow PI 8) (pow f 8)) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (/ (* (* 1/96 (* (* f f) (* PI PI))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* 1/30720 (pow PI 4)) (* (pow f 4) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (- (+ (+ (- (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (log f)) (+ (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (* (pow PI 8) (pow f 8)) (pow (exp 1/4) (* PI f))) 1/943718400) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (+ (/ (* (* 7/92160 (* (pow PI 4) (pow f 4))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (+ (/ (* (* 1/943718400 (* (pow PI 8) (pow f 8))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* 1/9216 (* (pow (exp 1/4) (* PI f)) (* (pow PI 4) (pow f 4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (log (* 2 (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) PI))))) (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (+ (* (/ 1/18432 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow PI 4) (pow f 4)) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (* (/ 1/943718400 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow f 8) 1) (pow PI 8)) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (* (/ 1/9216 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (pow f 4) (* (pow PI 4) 1)) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))) (+ (+ (+ (/ (* (* 1/96 (* f f)) (* (* PI PI) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* 1/1474560 (pow f 6)) (* (pow PI 6) 1)) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (/ (* (* 1/2949120 (* (pow PI 6) (pow f 6))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))) (+ (* (/ 1/2949120 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (pow PI 6) (pow f 6))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (* (/ 1/1887436800 (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* (pow PI 8) (pow f 8)) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (/ (* (* 1/96 (* (* f f) (* PI PI))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* 1/30720 (pow PI 4)) (* (pow f 4) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))))))))))
* * * * [misc]progress:  [ 110 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 8))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (/ -1 f)) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 8) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 4) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 2))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 4))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 8))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 8))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (/ -1 f)) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 8) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 4) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 2))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 4))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 8))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))))))))))))))))))
* * [misc]simplify:  iters left: 6 (172 enodes)
* [exit]simplify:  Simplified to (- (- (+ (+ (* 1/2949120 (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (/ (* (* (pow PI 6) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* f f)))) (* 1/943718400 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow PI 8) (pow (exp -1/4) (* f PI))))))) (+ (+ (* 1/2949120 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow PI 6) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (log (/ -1 f))) (+ (+ (* 1/9216 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 1/4) (* f PI)) (pow PI 4))))) (* 1/9216 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) 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1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (+ (/ (* 1/9216 (* (* (pow (exp -1/4) (* f PI)) (* (pow (exp 1/4) (* f PI)) (pow PI 4))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (* (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (/ (* (pow (exp -1/4) (* f PI)) (* PI PI)) f)) 1/96)) (+ (+ (/ (* 1/18432 (* (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 4)) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (/ (* 1/1887436800 (* (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 8)) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (* (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (* (* (pow PI 6) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) 1/5898240) (* 1/18432 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (* (pow PI 4) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (- (+ (+ (* 1/2949120 (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (/ (* (* (pow PI 6) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* f f)))) (* 1/943718400 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow PI 8) (pow (exp -1/4) (* f PI))))))) (+ (+ (* 1/2949120 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow PI 6) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (log (/ -1 f))) (+ (+ (* 1/9216 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 1/4) (* f PI)) (pow PI 4))))) (* 1/9216 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow PI 4) (pow (exp -1/4) (* f PI))))))) (+ (+ (log (* (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) PI) -2)) (/ (* 1/2949120 (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (* (pow PI 6) (pow (exp 1/4) (* f PI))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (+ (* (* (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (/ (* (* (pow PI 6) (pow (exp -1/4) (* f PI))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* f f))) 1/2949120) (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow PI 8) (pow (exp 1/4) (* f PI))))) 1/943718400)))))) (* 1/5898240 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow PI 6) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))) (+ (+ (* 1/96 (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 1/4) (* f PI)) (* PI PI))))) (* (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (* (pow PI 6) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) 1/1474560)) (+ (+ (/ (* 1/30720 (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 4) (pow (exp -1/4) (* f PI))))) (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (/ (* 1/5898240 (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 6))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (+ (* 1/30720 (/ (* (* (pow (exp 1/4) (* f PI)) (pow PI 4)) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (/ (* 1/943718400 (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (* (pow PI 8) (pow (exp -1/4) (* f PI))) (pow (exp 1/4) (* f PI))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (+ (* (* (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (/ (* (* (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 6)) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* f f))) 1/5898240) (/ (* 1/1887436800 (* (* (pow PI 8) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (+ (/ (* 1/9216 (* (* (pow (exp -1/4) (* f PI)) (* (pow (exp 1/4) (* f PI)) (pow PI 4))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (* (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (/ (* (pow (exp -1/4) (* f PI)) (* PI PI)) f)) 1/96)) (+ (+ (/ (* 1/18432 (* (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 4)) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (/ (* 1/1887436800 (* (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 8)) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (* (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (* (* (pow PI 6) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) 1/5898240) (* 1/18432 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (* (pow PI 4) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))))))))))))))
* * * * [misc]progress:  [ 111 / 113 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 112 / 113 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) PI)) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/235929600 (/ (* (pow f 8) (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow f 4) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* PI (* (pow f 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow f 8) (* (pow PI 7) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow f 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/737280 (/ (* (pow f 6) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) PI)) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/235929600 (/ (* (pow f 8) (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow f 4) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* PI (* (pow f 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow f 8) (* (pow PI 7) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow f 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/737280 (/ (* (pow f 6) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))))))))))))))))
* * [misc]simplify:  iters left: 6 (141 enodes)
* * [misc]simplify:  iters left: 5 (404 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (+ (/ (* (* 1/368640 (* (pow PI 5) (pow f 6))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (* (- (/ (log f) PI)) 4)) (+ (/ (* (* 1/235929600 (* (pow f 8) (pow PI 7))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/235929600 (pow PI 7)) (* (pow f 8) (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (+ (+ (/ (* (* 1/2304 (* (pow f 4) (pow PI 3))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (+ (/ (* 1/368640 (* (* (pow PI 5) (pow f 6)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (* (pow (exp 1/4) (* PI f)) (* (pow f 4) (pow PI 3))) 1/2304) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (/ (* (log (/ (* 2 (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) PI)) 4) PI))) (+ (/ (* (* 1/235929600 (pow f 8)) (* (pow PI 7) 1)) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (+ (+ (+ (/ (* (* 1/24 (* f f)) (* PI (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/7680 (* (pow f 4) (pow PI 3))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (+ (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))))) (+ (+ (+ (* (/ 1/2304 (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (pow f 4) (* (* PI PI) (* PI 1))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/24 (* PI (* f f))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (+ (/ (* (* 1/471859200 (* (pow f 8) (pow PI 7))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (/ (* (* 1/368640 (pow PI 5)) (* (pow f 6) 1)) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (+ (+ (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/471859200 (* (pow f 8) (pow PI 7))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (+ (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/7680 (* (pow f 4) (pow PI 3))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (+ (+ (+ (/ (* (* 1/368640 (* (pow PI 5) (pow f 6))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (* (- (/ (log f) PI)) 4)) (+ (/ (* (* 1/235929600 (* (pow f 8) (pow PI 7))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/235929600 (pow PI 7)) (* (pow f 8) (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (+ (+ (/ (* (* 1/2304 (* (pow f 4) (pow PI 3))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (+ (/ (* 1/368640 (* (* (pow PI 5) (pow f 6)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (* (pow (exp 1/4) (* PI f)) (* (pow f 4) (pow PI 3))) 1/2304) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (/ (* (log (/ (* 2 (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) PI)) 4) PI))) (+ (/ (* (* 1/235929600 (pow f 8)) (* (pow PI 7) 1)) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (+ (+ (+ (/ (* (* 1/24 (* f f)) (* PI (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/7680 (* (pow f 4) (pow PI 3))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (+ (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))))) (+ (+ (+ (* (/ 1/2304 (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (/ (* (pow f 4) (* (* PI PI) (* PI 1))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/24 (* PI (* f f))) (exp (* (* PI f) (- 1/4)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (+ (/ (* (* 1/471859200 (* (pow f 8) (pow PI 7))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (/ (* (* 1/368640 (pow PI 5)) (* (pow f 6) 1)) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (+ (+ (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/471859200 (* (pow f 8) (pow PI 7))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f)))))) (+ (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/7680 (* (pow f 4) (pow PI 3))) (pow (exp 1/4) (* PI f))) (+ (exp (* (* PI f) (- 1/4))) (pow (exp 1/4) (* PI f))))))))))))
* * * * [misc]progress:  [ 113 / 113 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 7) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 4 (/ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) PI)) (+ (* 4 (/ (log (/ -1 f)) PI)) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 7))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 5)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 5)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* PI (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 3) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 5)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 7))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 3))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) PI)) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 7) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 5)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 7) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 7) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 4 (/ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) PI)) (+ (* 4 (/ (log (/ -1 f)) PI)) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 7))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 5)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 5)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* PI (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 3) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 5)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 7))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 3))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) PI)) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 7) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 5)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 7) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2))))))))))))))))))))
* * [misc]simplify:  iters left: 6 (180 enodes)
* [exit]simplify:  Simplified to (- (- (+ (+ (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (pow (exp 1/4) (* f PI)))))) 1/737280) (* 1/235929600 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow PI 7) (pow (exp 1/4) (* f PI))))))) (+ (+ (* 4 (/ (log (/ (* -2 (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) PI)) PI)) (/ (* 4 (log (/ -1 f))) PI)) (+ (+ (* 1/2304 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp -1/4) (* f PI)) (pow PI 3))))) (* 1/235929600 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp -1/4) (* f PI)) (pow PI 7)))))) (+ (+ (* (* (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (/ (* (* (pow PI 5) (pow (exp 1/4) (* f PI))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* f f))) 1/737280) (* 1/2304 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow PI 3) (pow (exp 1/4) (* f PI))))))) (+ (* 1/737280 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow PI 5))) (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (/ (* 1/737280 (* (* (* (pow (exp -1/4) (* f PI)) (pow PI 5)) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))))) (* 1/737280 (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (* (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))))) (+ (+ (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (* (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 5)) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 1/1474560) (* 1/1474560 (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 5)) (pow (exp 5) (- (log -1) (log (/ -1 f))))))))) (+ (+ (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp 1/4) (* f PI)) PI))) 1/24) (* 1/2304 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (* (pow (exp -1/4) (* f PI)) (pow PI 3)) (pow (exp 1/4) (* f PI)))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) (+ (+ (* 1/1474560 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow PI 5))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (pow PI 7) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 1/471859200)) (+ (+ (+ (/ (* 1/7680 (* (* (pow PI 3) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (/ (* PI (pow (exp -1/4) (* f PI))) f)) 1/24)) (+ (+ (* 1/471859200 (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (* (pow PI 7) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (* 1/1474560 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (* (pow PI 5) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) (+ (+ (* 1/4608 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (pow PI 3) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (* 1/7680 (/ (* (* (pow (exp -1/4) (* f PI)) (pow PI 3)) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (+ (* (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (* (* (pow (exp -1/4) (* f PI)) (pow PI 7)) (pow (exp 1/4) (* f PI))) (* f f))) 1/235929600) (* 1/737280 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (pow (exp 1/4) (* f PI))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))))))) (* (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3)))) 1/4608))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (- (+ (+ (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (pow (exp 1/4) (* f PI)))))) 1/737280) (* 1/235929600 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow PI 7) (pow (exp 1/4) (* f PI))))))) (+ (+ (* 4 (/ (log (/ (* -2 (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) PI)) PI)) (/ (* 4 (log (/ -1 f))) PI)) (+ (+ (* 1/2304 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp -1/4) (* f PI)) (pow PI 3))))) (* 1/235929600 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp -1/4) (* f PI)) (pow PI 7)))))) (+ (+ (* (* (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (/ (* (* (pow PI 5) (pow (exp 1/4) (* f PI))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* f f))) 1/737280) (* 1/2304 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow PI 3) (pow (exp 1/4) (* f PI))))))) (+ (* 1/737280 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow PI 5))) (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (/ (* 1/737280 (* (* (* (pow (exp -1/4) (* f PI)) (pow PI 5)) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))))) (* 1/737280 (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (* (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))))) (+ (+ (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (* (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 5)) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 1/1474560) (* 1/1474560 (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 5)) (pow (exp 5) (- (log -1) (log (/ -1 f))))))))) (+ (+ (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp 1/4) (* f PI)) PI))) 1/24) (* 1/2304 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (* (pow (exp -1/4) (* f PI)) (pow PI 3)) (pow (exp 1/4) (* f PI)))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) (+ (+ (* 1/1474560 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow PI 5))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (pow PI 7) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 1/471859200)) (+ (+ (+ (/ (* 1/7680 (* (* (pow PI 3) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (/ (* PI (pow (exp -1/4) (* f PI))) f)) 1/24)) (+ (+ (* 1/471859200 (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (* (pow PI 7) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (* 1/1474560 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (* (pow PI 5) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) (+ (+ (* 1/4608 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (pow PI 3) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (* 1/7680 (/ (* (* (pow (exp -1/4) (* f PI)) (pow PI 3)) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (+ (* (* (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (* (* (pow (exp -1/4) (* f PI)) (pow PI 7)) (pow (exp 1/4) (* f PI))) (* f f))) 1/235929600) (* 1/737280 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (pow (exp 1/4) (* f PI))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))))))) (* (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3)))) 1/4608))))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (log f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (log f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) 0) into (log f)
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI)))
* [misc]backup-simplify:  Simplify (+ (log f) (- (log (/ 4 PI)))) into (- (log f) (log (/ 4 PI)))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log f) (log (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI))
* [misc]approximate:  Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI)))
* [misc]backup-simplify:  Simplify (+ (- (log f)) (- (log (/ 4 PI)))) into (- (+ (log (/ 4 PI)) (log f)))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (- (+ (log (/ 4 PI)) (log f)))) into (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) into (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (- (+ (log (/ 4 PI)) (log f))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f)))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f)))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -4 (/ (+ (log (/ 4 PI)) (log (/ 1 f))) PI)) into (* -4 (/ (+ (log (/ 4 PI)) (log (/ 1 f))) PI))
* [misc]approximate:  Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI)))
* [misc]backup-simplify:  Simplify (+ (- (log -1) (log f)) (- (log (/ 4 PI)))) into (- (log -1) (+ (log (/ 4 PI)) (log f)))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (- (log -1) (+ (log (/ 4 PI)) (log f)))) into (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) into (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f)))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f)))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log (/ 1 (- f))))) PI)) into (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log (/ -1 f)))) PI))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* 1/12 PI) (* f f)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 1/12 PI) (* f f)) in f
* [misc]taylor:  Taking taylor expansion of (* 1/12 PI) in f
* [misc]taylor:  Taking taylor expansion of 1/12 in f
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* f f) in f
* [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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 1/12 PI) (* f f)) in f
* [misc]taylor:  Taking taylor expansion of (* 1/12 PI) in f
* [misc]taylor:  Taking taylor expansion of 1/12 in f
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* f f) in f
* [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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (* 1/12 PI) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 1) (+ (* 0 0) (* 0 0))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/12 PI) (pow f 2)) into (* 1/12 (* (pow f 2) PI))
* [misc]approximate:  Taking taylor expansion of (* (* 1/12 PI) (* (/ 1 f) (/ 1 f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 1/12 PI) (* (/ 1 f) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/12 PI) in f
* [misc]taylor:  Taking taylor expansion of 1/12 in f
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 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 (* (* 1/12 PI) (* (/ 1 f) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/12 PI) in f
* [misc]taylor:  Taking taylor expansion of 1/12 in f
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 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 (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/12 PI) 1) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (* (* 1/12 PI) (pow (/ 1 (/ 1 f)) 2)) into (* 1/12 (* (pow f 2) PI))
* [misc]approximate:  Taking taylor expansion of (* (* 1/12 PI) (* (/ 1 (- f)) (/ 1 (- f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 1/12 PI) (* (/ 1 (- f)) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/12 PI) in f
* [misc]taylor:  Taking taylor expansion of 1/12 in f
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 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 (* (* 1/12 PI) (* (/ 1 (- f)) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/12 PI) in f
* [misc]taylor:  Taking taylor expansion of 1/12 in f
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 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 (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/12 PI) 1) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 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 (* (* 1/12 PI) (pow (/ 1 (/ 1 (- f))) 2)) into (* 1/12 (* (pow f 2) PI))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))))))))>
* [enter]simplify:  Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))))))))
* * * * [misc]progress:  [ 2 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))))))))>
* [enter]simplify:  Simplifying (log (sqrt (/ 4 PI)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))))))))
* * * * [misc]progress:  [ 3 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log 1) (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log 1) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 4 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log 4) (log (/ 1 PI))))))))>
* [enter]simplify:  Simplifying (log 4)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 4)
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (+ (log 4) (log (/ 1 PI))))))))
* * * * [misc]progress:  [ 5 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (- (log 4) (log PI)))))))>
* [enter]simplify:  Simplifying (log 4)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 4)
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (- (log 4) (log PI)))))))
* * * * [misc]progress:  [ 6 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (* 1 (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 7 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (pow (log (/ 4 PI)) 1))))))>
* * * * [misc]progress:  [ 8 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (/ 4 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ 4 PI)
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 9 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (exp (log (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 10 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (exp (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 11 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (* (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (cbrt (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 12 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (cbrt (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 13 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 14 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (* 1 (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 15 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (pow (* 1/12 PI) 1) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 16 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (exp (log (* 1/12 PI))) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 17 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (log (exp (* 1/12 PI))) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 18 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* (* (cbrt (* 1/12 PI)) (cbrt (* 1/12 PI))) (cbrt (* 1/12 PI))) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 19 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (cbrt (* (* (* 1/12 PI) (* 1/12 PI)) (* 1/12 PI))) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 20 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* (sqrt (* 1/12 PI)) (sqrt (* 1/12 PI))) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 21 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1 (* 1/12 PI)) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 22 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* PI 1/12) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 23 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 1))))>
* [enter]simplify:  Simplifying (* (/ 4 PI) (- (log f) (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (341 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 1))))
* * * * [misc]progress:  [ 24 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 1))))>
* * * * [misc]progress:  [ 25 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (exp (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI)))))))))>
* [enter]simplify:  Simplifying (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (exp (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI)))))))))
* * * * [misc]progress:  [ 26 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (exp (log (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 27 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (log (exp (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 28 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (- (log f) (log (/ 4 PI)))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (- (log f) (log (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* [exit]simplify:  Simplified to (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))
* * * * [misc]progress:  [ 29 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 30 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 31 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 32 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* 4 (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) (* PI (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI))))))))))>
* [enter]simplify:  Simplifying (* 4 (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (- (* (* (log f) (log f)) (* 4 (log f))) (* (* (log (/ 4 PI)) 4) (* (log (/ 4 PI)) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (- (* (* (log f) (log f)) (* 4 (log f))) (* (* (log (/ 4 PI)) 4) (* (log (/ 4 PI)) (log (/ 4 PI))))) (* PI (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI))))))))))
* [enter]simplify:  Simplifying (* PI (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (+ (* (* PI (log f)) (+ (log (/ 4 PI)) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) PI))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* 4 (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) (+ (* (* PI (log f)) (+ (log (/ 4 PI)) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) PI))))))
* * * * [misc]progress:  [ 33 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* 4 (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) (* PI (+ (log f) (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (* 4 (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* [exit]simplify:  Simplified to (* (- (log f) (log (/ 4 PI))) (* (+ (log f) (log (/ 4 PI))) 4))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* (- (log f) (log (/ 4 PI))) (* (+ (log f) (log (/ 4 PI))) 4)) (* PI (+ (log f) (log (/ 4 PI))))))))
* [enter]simplify:  Simplifying (* PI (+ (log f) (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* PI (+ (log (/ 4 PI)) (log f)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* 4 (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) (* PI (+ (log (/ 4 PI)) (log f)))))))
* * * * [misc]progress:  [ 34 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* 1 (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 35 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (/ 4 PI) (log f)) (* (/ 4 PI) (- (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (* (/ 4 PI) (- (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (* (log (/ 4 PI)) (- (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (/ 4 PI) (log f)) (* (log (/ 4 PI)) (- (/ 4 PI)))))))
* * * * [misc]progress:  [ 36 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))))))>
* [enter]simplify:  Simplifying (* (/ 4 PI) (log PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log PI))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))))))
* * * * [misc]progress:  [ 37 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (/ 4 PI) (log f)) (* (/ 4 PI) (- (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (* (/ 4 PI) (- (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (* (log (/ 4 PI)) (- (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (/ 4 PI) (log f)) (* (log (/ 4 PI)) (- (/ 4 PI)))))))
* * * * [misc]progress:  [ 38 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (log f) (/ 4 PI)) (* (- (log (/ 4 PI))) (/ 4 PI))))))>
* [enter]simplify:  Simplifying (* (- (log (/ 4 PI))) (/ 4 PI))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (log f) (/ 4 PI)) (* (/ (- 4) PI) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 39 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (- (log f) (log 4)) (/ 4 PI)) (* (log PI) (/ 4 PI))))))>
* [enter]simplify:  Simplifying (* (log PI) (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (/ (log PI) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (- (log f) (log 4)) (/ 4 PI)) (/ (log PI) (/ PI 4))))))
* * * * [misc]progress:  [ 40 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (log f) (/ 4 PI)) (* (- (log (/ 4 PI))) (/ 4 PI))))))>
* [enter]simplify:  Simplifying (* (- (log (/ 4 PI))) (/ 4 PI))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (+ (* (log f) (/ 4 PI)) (* (/ (- 4) PI) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 41 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI)))))) (cbrt (- (log f) (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (cbrt (- (log f) (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (cbrt (- (log f) (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI)))))) (cbrt (- (log f) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 42 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) (sqrt (- (log f) (log (/ 4 PI))))) (sqrt (- (log f) (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (sqrt (- (log f) (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (- (log f) (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) (sqrt (- (log f) (log (/ 4 PI))))) (sqrt (- (log f) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 43 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (log f) (log (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (log f) (log (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 44 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) (+ (sqrt (log f)) (sqrt (log (/ 4 PI))))) (- (sqrt (log f)) (sqrt (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (- (sqrt (log f)) (sqrt (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (- (sqrt (log f)) (sqrt (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) (+ (sqrt (log f)) (sqrt (log (/ 4 PI))))) (- (sqrt (log f)) (sqrt (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 45 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (log f) (log (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (log f) (log (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 46 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (log f) (log (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (log f) (log (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 47 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 48 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 4 PI))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 49 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* 1 (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 50 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* 4 (* (/ 1 PI) (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 51 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* (/ 4 PI) (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI)))))))))>
* [enter]simplify:  Simplifying (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* [exit]simplify:  Simplified to (+ (* (+ (log (/ 4 PI)) (log f)) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* (/ 4 PI) (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) (+ (* (+ (log (/ 4 PI)) (log f)) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 52 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* (/ 4 PI) (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) (+ (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (+ (log f) (log (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (+ (log (/ 4 PI)) (log f))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* (/ 4 PI) (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) (+ (log (/ 4 PI)) (log f))))))
* * * * [misc]progress:  [ 53 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* [enter]simplify:  Simplifying (* 4 (- (log f) (log (/ 4 PI))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (* 4 (- (log f) (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 54 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))))>
* * * * [misc]progress:  [ 55 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (pow (* (* 1/12 PI) (* f f)) 1) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (* (* 1/12 PI) (* f f))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (* f PI) (* f 1/12))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (- (- (- (pow (* (* f PI) (* f 1/12)) 1) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 56 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (pow (* (* 1/12 PI) (* f f)) 1) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 57 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (exp (+ (log (* 1/12 PI)) (log (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (+ (log (* 1/12 PI)) (log (* f f)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (+ (log (* 1/12 PI)) (log (* f f)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (- (- (- (exp (+ (log (* 1/12 PI)) (log (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 58 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (exp (log (* (* 1/12 PI) (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 59 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (log (exp (* (* 1/12 PI) (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 60 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (cbrt (* (* (* (* 1/12 PI) (* 1/12 PI)) (* 1/12 PI)) (* (* (* f f) (* f f)) (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (* (* (* (* 1/12 PI) (* 1/12 PI)) (* 1/12 PI)) (* (* (* f f) (* f f)) (* f f)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (373 enodes)
* [exit]simplify:  Simplified to (* (pow (* 1/12 PI) 3) (* (pow f 3) (pow f 3)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (- (- (- (cbrt (* (pow (* 1/12 PI) 3) (* (pow f 3) (pow f 3)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 61 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* (cbrt (* (* 1/12 PI) (* f f))) (cbrt (* (* 1/12 PI) (* f f)))) (cbrt (* (* 1/12 PI) (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 62 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (cbrt (* (* (* (* 1/12 PI) (* f f)) (* (* 1/12 PI) (* f f))) (* (* 1/12 PI) (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 63 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (sqrt (* (* 1/12 PI) (* f f))) (sqrt (* (* 1/12 PI) (* f f)))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 64 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* 1 (* (* 1/12 PI) (* f f))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 65 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* (* 1/12 PI) f) f) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 66 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* 1/12 (* PI (* f f))) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 67 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* f f) (* 1/12 PI)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 68 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (392 enodes)
* [exit]simplify:  Simplified to (+ (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* (pow f 4) (* PI PI)) (* PI 7/5760)) (* (* 1/12 PI) (- (* f f)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* (pow f 4) (* PI PI)) (* PI 7/5760)) (* (* 1/12 PI) (- (* f f))))))
* * * * [misc]progress:  [ 69 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (392 enodes)
* [exit]simplify:  Simplified to (+ (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* (pow f 4) (* PI PI)) (* PI 7/5760)) (* (* 1/12 PI) (- (* f f)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* (pow f 4) (* PI PI)) (* PI 7/5760)) (* (* 1/12 PI) (- (* f f))))))
* * * * [misc]progress:  [ 70 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI)))))>
* [enter]simplify:  Simplifying (* 4 (/ (- (log f) (log (/ 4 PI))) PI))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (* (- (log f) (log (/ 4 PI))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))))
* * * * [misc]progress:  [ 71 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* -4 (/ (+ (log (/ 4 PI)) (log (/ 1 f))) PI)))))>
* [enter]simplify:  Simplifying (* -4 (/ (+ (log (/ 4 PI)) (log (/ 1 f))) PI))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (/ (- (log (/ 4 PI)) (log f)) (/ PI -4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (/ (- (log (/ 4 PI)) (log f)) (/ PI -4)))))
* * * * [misc]progress:  [ 72 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log (/ -1 f)))) PI)))))>
* [enter]simplify:  Simplifying (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log (/ -1 f)))) PI))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (- (+ 0 (log f)) (log (/ 4 PI))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (+ 0 (log f)) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 73 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* 1/12 (* (pow f 2) PI)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (* 1/12 (* (pow f 2) PI))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (* f PI) (* 1/12 f))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (- (- (- (* (* f PI) (* 1/12 f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 74 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* 1/12 (* (pow f 2) PI)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (* 1/12 (* (pow f 2) PI))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (* f PI) (* 1/12 f))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (- (- (- (* (* f PI) (* 1/12 f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 75 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (- (* 1/12 (* (pow f 2) PI)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (* 1/12 (* (pow f 2) PI))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (* f PI) (* 1/12 f))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (- (- (- (* (* f PI) (* 1/12 f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * [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 (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 2 1 2 1 2 1 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 2 1 2 2 1 2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 2 1 2 1 1 2 1 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 2 1 2 1 2 2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 2 1 2 1 2 1 2 2)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 2 1 2 2 1 2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 2 1 2 1 1 2 1 2 2)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 2 1 2 1 2 2 2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (* (log PI) 3)))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 2 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* PI PI) PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 3 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow (pow PI 3) 1))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 4 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (log (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 5 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (log (exp (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 6 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* (cbrt (pow PI 3)) (cbrt (pow PI 3))) (cbrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 7 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (cbrt (* (* (pow PI 3) (pow PI 3)) (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 8 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* PI (* PI PI)))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 9 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (sqrt (pow PI 3)) (sqrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 10 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* 1 (pow PI 3)))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 11 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (* (log PI) 3)))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 12 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* PI PI) PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 13 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow (pow PI 3) 1))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 14 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (log (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 15 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (log (exp (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 16 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* (cbrt (pow PI 3)) (cbrt (pow PI 3))) (cbrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 17 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (cbrt (* (* (pow PI 3) (pow PI 3)) (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 18 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* PI (* PI PI)))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 19 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (sqrt (pow PI 3)) (sqrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 20 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* 1 (pow PI 3)))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 21 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (* (log PI) 3)))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 22 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* PI PI) PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 23 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow (pow PI 3) 1))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 24 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (exp (log (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 25 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (log (exp (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 26 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (* (cbrt (pow PI 3)) (cbrt (pow PI 3))) (cbrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 27 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (cbrt (* (* (pow PI 3) (pow PI 3)) (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 28 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* PI (* PI PI)))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 29 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* (sqrt (pow PI 3)) (sqrt (pow PI 3))))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 30 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (* 1 (pow PI 3)))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* * * * [misc]progress:  [ 31 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (exp (* (log PI) 5)))))))))))))>
* * * * [misc]progress:  [ 32 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow (pow PI 5) 1))))))))))))>
* * * * [misc]progress:  [ 33 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (exp (log (pow PI 5))))))))))))))>
* * * * [misc]progress:  [ 34 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (log (exp (pow PI 5))))))))))))))>
* * * * [misc]progress:  [ 35 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (* (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) (cbrt (pow PI 5))))))))))))))>
* * * * [misc]progress:  [ 36 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (cbrt (* (* (pow PI 5) (pow PI 5)) (pow PI 5))))))))))))))>
* * * * [misc]progress:  [ 37 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (* (sqrt (pow PI 5)) (sqrt (pow PI 5))))))))))))))>
* * * * [misc]progress:  [ 38 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (* 1 (pow PI 5)))))))))))))>
* * * * [misc]progress:  [ 39 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 40 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 41 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 42 / 42 ] simplifiying candidate #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))) (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* 1/2 f) PI)))))) (/ PI 4)))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>)
* * * [misc]regime-changes:  Trying 5 branch expressions: (f (* (/ PI 4) f) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * * * [misc]regimes:  Trying to branch on f from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>)
* * * * [misc]regimes:  Trying to branch on (* (/ PI 4) f) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>)
* * * * [misc]regimes:  Trying to branch on (* (/ PI 4) f) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>)
* * * * [misc]regimes:  Trying to branch on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>)
* * * * [misc]regimes:  Trying to branch on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>)
* * * * [misc]regimes:  Trying to branch on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>)
* * * * [misc]regimes:  Trying to branch on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>)
* * * * [misc]regimes:  Trying to branch on (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) from (#<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))> #<alt (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (* (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))> #<alt (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 8 256))>
* [enter]simplify:  Simplifying (- (- (- (* (* 1/12 PI) (* f f)) (* (* PI PI) (* (* 7/5760 PI) (pow f 4)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* [exit]simplify:  Simplified to (- (- (- (* (* f f) (* 1/12 PI)) (* (* (* PI 7/5760) (pow f 4)) (* PI PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * * * [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 5940 additional inputs, on iter 1 have 2060 / 8000
* * * * [misc]points:  Computing exacts on every 371 of 5940 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 5940 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 5940 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 5940 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 5940 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 5940 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 5940 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 5940 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 5940 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 4401 additional inputs, on iter 2 have 3599 / 8000
* * * * [misc]points:  Computing exacts on every 275 of 4401 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 137 of 4401 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 68 of 4401 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 4401 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 4401 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 4401 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 4401 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 4401 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 4401 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 3212 additional inputs, on iter 3 have 4788 / 8000
* * * * [misc]points:  Computing exacts on every 200 of 3212 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 100 of 3212 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 50 of 3212 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 3212 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 3212 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 3212 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 3212 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3212 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 2381 additional inputs, on iter 4 have 5619 / 8000
* * * * [misc]points:  Computing exacts on every 148 of 2381 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 74 of 2381 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 37 of 2381 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 18 of 2381 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 2381 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 2381 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 2381 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2381 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 1769 additional inputs, on iter 5 have 6231 / 8000
* * * * [misc]points:  Computing exacts on every 110 of 1769 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 55 of 1769 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 27 of 1769 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 13 of 1769 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 1769 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 1769 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1769 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 1325 additional inputs, on iter 6 have 6675 / 8000
* * * * [misc]points:  Computing exacts on every 82 of 1325 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 41 of 1325 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 20 of 1325 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 1325 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 1325 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 1325 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1325 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 969 additional inputs, on iter 7 have 7031 / 8000
* * * * [misc]points:  Computing exacts on every 60 of 969 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 30 of 969 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 969 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 969 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 969 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 969 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 706 additional inputs, on iter 8 have 7294 / 8000
* * * * [misc]points:  Computing exacts on every 44 of 706 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 22 of 706 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 706 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 706 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 706 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 706 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 517 additional inputs, on iter 9 have 7483 / 8000
* * * * [misc]points:  Computing exacts on every 32 of 517 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 517 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 517 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 517 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 517 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 517 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 375 additional inputs, on iter 10 have 7625 / 8000
* * * * [misc]points:  Computing exacts on every 23 of 375 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 375 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 375 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 375 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 375 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 288 additional inputs, on iter 11 have 7712 / 8000
* * * * [misc]points:  Computing exacts on every 18 of 288 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 288 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 288 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 288 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 288 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 205 additional inputs, on iter 12 have 7795 / 8000
* * * * [misc]points:  Computing exacts on every 12 of 205 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 205 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 205 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 205 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 155 additional inputs, on iter 13 have 7845 / 8000
* * * * [misc]points:  Computing exacts on every 9 of 155 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 155 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 155 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 155 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 111 additional inputs, on iter 14 have 7889 / 8000
* * * * [misc]points:  Computing exacts on every 6 of 111 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 111 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 111 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 80 additional inputs, on iter 15 have 7920 / 8000
* * * * [misc]points:  Computing exacts on every 5 of 80 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 80 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 80 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 57 additional inputs, on iter 16 have 7943 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 57 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 57 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 36 additional inputs, on iter 17 have 7964 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 36 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 36 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 28 additional inputs, on iter 18 have 7972 / 8000
* * * * [misc]points:  Computing exacts for 28 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 15 additional inputs, on iter 20 have 7985 / 8000
* * * * [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 12 additional inputs, on iter 21 have 7988 / 8000
* * * * [misc]points:  Computing exacts for 12 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 9 additional inputs, on iter 22 have 7991 / 8000
* * * * [misc]points:  Computing exacts for 9 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 7 additional inputs, on iter 23 have 7993 / 8000
* * * * [misc]points:  Computing exacts for 7 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
* * * * [misc]points:  Sampling 4 additional inputs, on iter 26 have 7998 / 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
* * * * [misc]points:  Sampling 4 additional inputs, on iter 27 have 7998 / 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
* * * * [misc]points:  Sampling 4 additional inputs, on iter 28 have 7999 / 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 8001 points with exact outputs