* [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 186 additional inputs, on iter 1 have 70 / 256
* * * * [misc]points:  Computing exacts on every 11 of 186 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 186 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 186 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 186 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 148 additional inputs, on iter 2 have 108 / 256
* * * * [misc]points:  Computing exacts on every 9 of 148 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 148 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 148 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 148 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 78 additional inputs, on iter 4 have 178 / 256
* * * * [misc]points:  Computing exacts on every 4 of 78 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 78 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 78 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 54 additional inputs, on iter 5 have 202 / 256
* * * * [misc]points:  Computing exacts on every 3 of 54 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 54 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 43 additional inputs, on iter 6 have 213 / 256
* * * * [misc]points:  Computing exacts on every 2 of 43 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 43 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 33 additional inputs, on iter 7 have 223 / 256
* * * * [misc]points:  Computing exacts on every 2 of 33 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 33 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 26 additional inputs, on iter 8 have 230 / 256
* * * * [misc]points:  Computing exacts for 26 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 9 have 238 / 256
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 10 have 243 / 256
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 11 have 243 / 256
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 11 additional inputs, on iter 12 have 245 / 256
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 7 additional inputs, on iter 13 have 249 / 256
* * * * [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 7 additional inputs, on iter 14 have 249 / 256
* * * * [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 6 additional inputs, on iter 15 have 250 / 256
* * * * [misc]points:  Computing exacts for 6 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 6 additional inputs, on iter 16 have 250 / 256
* * * * [misc]points:  Computing exacts for 6 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 17 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 18 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 19 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (184 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 1 2 2 1 1)
* * * [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 1 2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) f) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (* 1/4 PI) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) f) into (* 1/4 (* f PI))
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (* 1/4 PI) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) (/ 1 (/ 1 f))) into (* 1/4 (* f PI))
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* -1/4 PI) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1/4 PI) (/ 1 (/ 1 (- f)))) into (* 1/4 (* f PI))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 158 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (62 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (58 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (171 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (78 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 / 158 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (61 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 / 158 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 2 (63 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 / 158 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 2 (63 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (58 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 / 158 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 / 158 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 / 158 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 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 / 158 ] 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 / 158 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 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 / 158 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 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 / 158 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 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 / 158 ] 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 / 158 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 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 / 158 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 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 / 158 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 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 / 158 ] 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 / 158 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (97 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (262 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 / 158 ] 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 (136 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (- (/ 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) (exp f)) (- (/ PI 4)))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 60 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) 1)))
* * * * [misc]progress:  [ 61 / 158 ] 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 / 158 ] 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (104 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 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (238 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (126 enodes)
* * [misc]simplify:  iters left: 3 (357 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- 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)))) (- (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))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 72 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- 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)))) (- (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))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 73 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* * [misc]simplify:  iters left: 1 (428 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 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* * [misc]simplify:  iters left: 1 (428 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (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)))))) 1))) (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 76 / 158 ] 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 (292 enodes)
* * [misc]simplify:  iters left: 1 (428 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (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)))))) 1))) (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 78 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* * [misc]simplify:  iters left: 1 (428 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 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* * [misc]simplify:  iters left: 1 (428 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (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))))) 1))) (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 81 / 158 ] 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 (292 enodes)
* * [misc]simplify:  iters left: 1 (428 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (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))))) 1))) (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 83 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [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 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 84 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [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 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 85 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (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 (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 86 / 158 ] 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 (290 enodes)
* * [misc]simplify:  iters left: 1 (424 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 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (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 (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 88 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [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 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 89 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [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 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 90 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (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 (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 91 / 158 ] 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 (290 enodes)
* * [misc]simplify:  iters left: 1 (424 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 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (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 (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 93 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (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 1)) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 94 / 158 ] 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 (148 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (log (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (/ (/ PI 4) -1))
* [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))))) (/ (/ PI 4) -1)))))
* * * * [misc]progress:  [ 95 / 158 ] 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 (326 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 / 158 ] 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 (152 enodes)
* * [misc]simplify:  iters left: 1 (179 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (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)))) (- (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))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 98 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (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)))) (- (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))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 99 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (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 (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 100 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (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 (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 101 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 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 (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 102 / 158 ] 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 (294 enodes)
* * [misc]simplify:  iters left: 1 (432 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 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 (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 104 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (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 (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 105 / 158 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (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 (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)))))
* * * * [misc]progress:  [ 106 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 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 (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 107 / 158 ] 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 (294 enodes)
* * [misc]simplify:  iters left: 1 (432 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 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 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 (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 109 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 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 (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 110 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 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 (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 111 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 112 / 158 ] 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 (289 enodes)
* * [misc]simplify:  iters left: 1 (432 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [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 (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 113 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 114 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 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 (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 115 / 158 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 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 (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 116 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 117 / 158 ] 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 (289 enodes)
* * [misc]simplify:  iters left: 1 (432 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [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 (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)))))
* * * * [misc]progress:  [ 118 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 119 / 158 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))))
* * * * [misc]progress:  [ 120 / 158 ] 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 (156 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (* (/ -4 PI) (log (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (/ -4 PI) (log (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))))))
* * * * [misc]progress:  [ 121 / 158 ] 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 (452 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (+ (pow (exp (/ PI 4)) (- (+ f f))) (exp (/ (+ f f) (/ 4 PI)))) 1)))
* [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 (+ (+ (pow (exp (/ PI 4)) (- (+ f f))) (exp (/ (+ f f) (/ 4 PI)))) 1))))))
* * * * [misc]progress:  [ 122 / 158 ] 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 (172 enodes)
* * [misc]simplify:  iters left: 1 (212 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 / 158 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (60 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 / 158 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (61 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 / 158 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (61 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 / 158 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (60 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 / 158 ] 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)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 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 / 158 ] 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)
* * [misc]simplify:  iters left: 1 (17 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 / 158 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (91 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 / 158 ] 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 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (pow (* (/ PI 4) f) 1)))))))))>
* * * * [misc]progress:  [ 135 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (exp (log (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 136 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (log (exp (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 137 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) (cbrt (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 138 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (cbrt (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 139 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (sqrt (* (/ PI 4) f)) (sqrt (* (/ PI 4) f)))))))))))>
* * * * [misc]progress:  [ 140 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1 (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 141 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (/ PI 4)) f))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (/ PI 4)) f))))))))))
* * * * [misc]progress:  [ 142 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f))))))))))
* * * * [misc]progress:  [ 143 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1 (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 144 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* PI (* (/ 1 4) f))))))))))>
* * * * [misc]progress:  [ 145 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (/ (* PI f) 4)))))))))>
* [enter]simplify:  Simplifying (* PI f)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* PI f)
* [misc]simplify:  Simplified (2 1 2 1 2 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (/ (* PI f) 4)))))))))
* * * * [misc]progress:  [ 146 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* f (/ PI 4))))))))))>
* * * * [misc]progress:  [ 147 / 158 ] 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:  [ 148 / 158 ] 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 (24 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (69 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:  [ 149 / 158 ] 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:  [ 150 / 158 ] 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 (109 enodes)
* * [misc]simplify:  iters left: 3 (265 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:  [ 151 / 158 ] 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 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (73 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:  [ 152 / 158 ] 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:  [ 153 / 158 ] 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 (251 enodes)
* * [misc]simplify:  iters left: 2 (473 enodes)
* [exit]simplify:  Simplified to (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 154 / 158 ] 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 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ PI 4))
* [misc]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))))) (/ PI 4))))
* * * * [misc]progress:  [ 155 / 158 ] 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 (117 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:  [ 156 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* f PI))))))))))>
* [enter]simplify:  Simplifying (* 1/4 (* f PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI f) 1/4)
* [misc]simplify:  Simplified (2 1 2 1 2 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (* PI f) 1/4)))))))))
* * * * [misc]progress:  [ 157 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* f PI))))))))))>
* [enter]simplify:  Simplifying (* 1/4 (* f PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI f) 1/4)
* [misc]simplify:  Simplified (2 1 2 1 2 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (* PI f) 1/4)))))))))
* * * * [misc]progress:  [ 158 / 158 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* f PI))))))))))>
* [enter]simplify:  Simplifying (* 1/4 (* f PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI f) 1/4)
* [misc]simplify:  Simplified (2 1 2 1 2 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (* PI f) 1/4)))))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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 0
* [misc]simplify:  Simplified (2 1 2 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (+ 0 (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 4 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (+ (log 4) (log (/ 1 PI))))))))
* * * * [misc]progress:  [ 5 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (- (log 4) (log PI)))))))
* * * * [misc]progress:  [ 6 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (* 1 (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 7 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (pow (log (/ 4 PI)) 1))))))>
* * * * [misc]progress:  [ 8 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 9 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (exp (log (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 10 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (exp (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 11 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (* 1 (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 15 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (pow (* 1/12 PI) 1) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 16 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (exp (log (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 17 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (log (exp (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 21 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1 (* 1/12 PI)) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 22 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* PI 1/12) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 23 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (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 (145 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (* (- (log f) (log (/ 4 PI))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (pow (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) 1))))
* * * * [misc]progress:  [ 24 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 1))))>
* * * * [misc]progress:  [ 25 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (exp (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI)))))))))
* * * * [misc]progress:  [ 26 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (exp (log (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 27 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (log (exp (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 28 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (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 (109 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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 (316 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (- (* (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* (- (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 1 (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 35 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (/ 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 (59 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (183 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (/ 4 PI) (log f)) (* (log (/ 4 PI)) (- (/ 4 PI)))))))
* * * * [misc]progress:  [ 36 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))))))
* * * * [misc]progress:  [ 37 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (/ 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 (59 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (183 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (/ 4 PI) (log f)) (* (log (/ 4 PI)) (- (/ 4 PI)))))))
* * * * [misc]progress:  [ 38 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (214 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (log f) (/ 4 PI)) (* (/ -4 PI) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 39 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (- (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (- (log f) (log 4)) (/ 4 PI)) (/ (log PI) (/ PI 4))))))
* * * * [misc]progress:  [ 40 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (214 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (log f) (/ 4 PI)) (* (/ -4 PI) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 41 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 44 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 46 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (/ 4 PI) 1) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 47 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 1 (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 50 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 4 (* (/ 1 PI) (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 51 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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 (82 enodes)
* * [misc]simplify:  iters left: 1 (173 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 54 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))))>
* * * * [misc]progress:  [ 55 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (pow (* (* 1/12 PI) (* f f)) 1) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 56 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (pow (* (* 1/12 PI) (* f f)) 1) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 57 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (exp (+ (log (* 1/12 PI)) (log (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 58 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (exp (log (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 59 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (log (exp (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (* (* (* PI PI) (* 1/1728 PI)) (* (pow f 3) (pow f 3)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (- (- (+ (cbrt (* (* (* PI PI) (* 1/1728 PI)) (* (pow f 3) (pow f 3)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 64 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1 (* (* 1/12 PI) (* f f))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 65 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* (* 1/12 PI) f) f) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 66 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* PI (* f f))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 67 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* f f) (* 1/12 PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* * * * [misc]progress:  [ 68 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (+ (- (* (* f f) (* -1/12 PI)) (* (* (* PI PI) (* PI -7/5760)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (- (* (* f f) (* -1/12 PI)) (* (* (* PI PI) (* PI -7/5760)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * * * [misc]progress:  [ 69 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))>
* [enter]simplify:  Simplifying (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (+ (- (* (* f f) (* -1/12 PI)) (* (* (* PI PI) (* PI -7/5760)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (- (* (* f f) (* -1/12 PI)) (* (* (* PI PI) (* PI -7/5760)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))
* * * * [misc]progress:  [ 70 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 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 (145 enodes)
* * [misc]simplify:  iters left: 1 (312 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))))
* * * * [misc]progress:  [ 71 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* -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 (44 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* [exit]simplify:  Simplified to (* (/ -4 PI) (- (log (/ 4 PI)) (log f)))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ -4 PI) (- (log (/ 4 PI)) (log f))))))
* * * * [misc]progress:  [ 72 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (+ 0 (log f)) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 73 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* (pow f 2) PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 74 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* (pow f 2) PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 75 / 75 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* (pow f 2) PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * [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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1 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 1 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 (- (log f) (log (/ 4 PI)))) PI) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* 4 (- (log f) (log (/ 4 PI)))) PI) in f
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log f) (log (/ 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 (- (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 PI in f
* [misc]backup-simplify:  Simplify PI into 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 (- (log f) (log (/ 4 PI)))) into (* 4 (- (log f) (log (/ 4 PI))))
* [misc]backup-simplify:  Simplify (/ (* 4 (- (log f) (log (/ 4 PI)))) PI) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI))
* [misc]taylor:  Taking taylor expansion of (/ (* 4 (- (log f) (log (/ 4 PI)))) PI) in f
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log f) (log (/ 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 (- (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 PI in f
* [misc]backup-simplify:  Simplify PI into 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 (- (log f) (log (/ 4 PI)))) into (* 4 (- (log f) (log (/ 4 PI))))
* [misc]backup-simplify:  Simplify (/ (* 4 (- (log f) (log (/ 4 PI)))) 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 (+ (* 4 0) (* 0 (- (log f) (log (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) (/ 0 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 (+ (* 4 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (- (log (/ 1 f)) (log (/ 4 PI)))) PI) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* 4 (- (log (/ 1 f)) (log (/ 4 PI)))) PI) in f
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log (/ 1 f)) (log (/ 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 (- (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 PI in f
* [misc]backup-simplify:  Simplify PI into 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 (- (+ (log (/ 4 PI)) (log f)))) into (* -4 (+ (log (/ 4 PI)) (log f)))
* [misc]backup-simplify:  Simplify (/ (* -4 (+ (log (/ 4 PI)) (log f))) PI) into (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI))
* [misc]taylor:  Taking taylor expansion of (/ (* 4 (- (log (/ 1 f)) (log (/ 4 PI)))) PI) in f
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log (/ 1 f)) (log (/ 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 (- (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 PI in f
* [misc]backup-simplify:  Simplify PI into 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 (- (+ (log (/ 4 PI)) (log f)))) into (* -4 (+ (log (/ 4 PI)) (log f)))
* [misc]backup-simplify:  Simplify (/ (* -4 (+ (log (/ 4 PI)) (log f))) PI) 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 (+ (* 4 0) (* 0 (- (+ (log (/ 4 PI)) (log f))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -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 (+ (* 4 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 4 PI)) (log f)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (- (log (/ 1 (- f))) (log (/ 4 PI)))) PI) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* 4 (- (log (/ 1 (- f))) (log (/ 4 PI)))) PI) in f
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log (/ 1 (- f))) (log (/ 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 (- (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 PI in f
* [misc]backup-simplify:  Simplify PI into 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 (- (log -1) (+ (log (/ 4 PI)) (log f)))) into (* 4 (- (log -1) (+ (log (/ 4 PI)) (log f))))
* [misc]backup-simplify:  Simplify (/ (* 4 (- (log -1) (+ (log (/ 4 PI)) (log f)))) PI) into (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI))
* [misc]taylor:  Taking taylor expansion of (/ (* 4 (- (log (/ 1 (- f))) (log (/ 4 PI)))) PI) in f
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log (/ 1 (- f))) (log (/ 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 (- (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 PI in f
* [misc]backup-simplify:  Simplify PI into 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 (- (log -1) (+ (log (/ 4 PI)) (log f)))) into (* 4 (- (log -1) (+ (log (/ 4 PI)) (log f))))
* [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 (* 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 (+ (* 4 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -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 (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log (/ 4 PI)) (log f))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -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 (+ (* 4 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 PI) (+ (* (* 4 (/ (- (log -1) (+ (log (/ 4 PI)) (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 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 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))))) 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 1 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))))) PI))))
* * * * [misc]progress:  [ 2 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))))) 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 1 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))))) PI))))
* * * * [misc]progress:  [ 3 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log 1) (log (/ 4 PI))))) PI))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ 0 (log (/ 4 PI))))) PI))))
* * * * [misc]progress:  [ 4 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log 4) (log (/ 1 PI))))) 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 1 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (+ (log 4) (log (/ 1 PI))))) PI))))
* * * * [misc]progress:  [ 5 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (- (log 4) (log PI)))) 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 1 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (- (log 4) (log PI)))) PI))))
* * * * [misc]progress:  [ 6 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (* 1 (log (/ 4 PI))))) PI))))>
* * * * [misc]progress:  [ 7 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (pow (log (/ 4 PI)) 1))) PI))))>
* * * * [misc]progress:  [ 8 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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 1 2 2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 9 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (exp (log (log (/ 4 PI)))))) PI))))>
* * * * [misc]progress:  [ 10 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (exp (log (/ 4 PI)))))) PI))))>
* * * * [misc]progress:  [ 11 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (* (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (cbrt (log (/ 4 PI)))))) PI))))>
* * * * [misc]progress:  [ 12 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (cbrt (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI)))))) PI))))>
* * * * [misc]progress:  [ 13 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) PI))))>
* * * * [misc]progress:  [ 14 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (* 1 (log (/ 4 PI))))) PI))))>
* * * * [misc]progress:  [ 15 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (pow (* 1/12 PI) 1) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 16 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (exp (log (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 17 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (log (exp (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 18 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* (* (cbrt (* 1/12 PI)) (cbrt (* 1/12 PI))) (cbrt (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 19 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (cbrt (* (* (* 1/12 PI) (* 1/12 PI)) (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 20 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* (sqrt (* 1/12 PI)) (sqrt (* 1/12 PI))) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 21 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1 (* 1/12 PI)) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 22 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* PI 1/12) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 23 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (pow (/ (* 4 (- (log f) (log (/ 4 PI)))) PI) 1))))>
* * * * [misc]progress:  [ 24 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (exp (log (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))))>
* * * * [misc]progress:  [ 25 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (log (exp (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))))>
* * * * [misc]progress:  [ 26 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* (cbrt (/ (* 4 (- (log f) (log (/ 4 PI)))) PI)) (cbrt (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))) (cbrt (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))))>
* * * * [misc]progress:  [ 27 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (cbrt (* (* (/ (* 4 (- (log f) (log (/ 4 PI)))) PI) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI)) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))))>
* * * * [misc]progress:  [ 28 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (sqrt (/ (* 4 (- (log f) (log (/ 4 PI)))) PI)) (sqrt (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))))>
* * * * [misc]progress:  [ 29 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (- (* 4 (- (log f) (log (/ 4 PI))))) (- PI)))))>
* * * * [misc]progress:  [ 30 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 1 (/ (* 4 (- (log f) (log (/ 4 PI)))) PI)))))>
* * * * [misc]progress:  [ 31 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (* 4 (- (log f) (log (/ 4 PI)))) (/ 1 PI)))))>
* * * * [misc]progress:  [ 32 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ 1 (/ PI (* 4 (- (log f) (log (/ 4 PI)))))))))>
* * * * [misc]progress:  [ 33 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ 4 (/ PI (- (log f) (log (/ 4 PI))))))))>
* * * * [misc]progress:  [ 34 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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 (316 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (- (* (* (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))))))))))
* * * * [misc]progress:  [ 35 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* (- (log f) (log (/ 4 PI))) (* (+ (log f) (log (/ 4 PI))) 4)) (* PI (+ (log f) (log (/ 4 PI))))))))
* * * * [misc]progress:  [ 36 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (pow (* (* 1/12 PI) (* f f)) 1) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 37 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (pow (* (* 1/12 PI) (* f f)) 1) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 38 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (exp (+ (log (* 1/12 PI)) (log (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 39 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (exp (log (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 40 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (log (exp (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 41 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (cbrt (* (* (* (* 1/12 PI) (* 1/12 PI)) (* 1/12 PI)) (* (* (* f f) (* f f)) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (* (* (* PI PI) (* 1/1728 PI)) (* (pow f 3) (pow f 3)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (- (- (+ (cbrt (* (* (* PI PI) (* 1/1728 PI)) (* (pow f 3) (pow f 3)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 42 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* (cbrt (* (* 1/12 PI) (* f f))) (cbrt (* (* 1/12 PI) (* f f)))) (cbrt (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 43 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (cbrt (* (* (* (* 1/12 PI) (* f f)) (* (* 1/12 PI) (* f f))) (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 44 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (sqrt (* (* 1/12 PI) (* f f))) (sqrt (* (* 1/12 PI) (* f f)))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 45 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1 (* (* 1/12 PI) (* f f))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 46 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* (* 1/12 PI) f) f) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 47 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* PI (* f f))) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 48 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* f f) (* 1/12 PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))>
* * * * [misc]progress:  [ 49 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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 (82 enodes)
* * [misc]simplify:  iters left: 1 (173 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 50 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 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 (82 enodes)
* * [misc]simplify:  iters left: 1 (173 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 51 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 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 (145 enodes)
* * [misc]simplify:  iters left: 1 (312 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))))
* * * * [misc]progress:  [ 52 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* -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 (44 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* [exit]simplify:  Simplified to (* (/ -4 PI) (- (log (/ 4 PI)) (log f)))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ -4 PI) (- (log (/ 4 PI)) (log f))))))
* * * * [misc]progress:  [ 53 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (+ 0 (log f)) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 54 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* (pow f 2) PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 55 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* (pow f 2) PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) PI))))
* * * * [misc]progress:  [ 56 / 56 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 1/12 (* (pow f 2) PI)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (/ (* 4 (- (log f) (log (/ 4 PI)))) 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 (/ (+ (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)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1 2 2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2 1 2 2 2 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
* [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 (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [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 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/61440 (pow PI 5))) into (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) into (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [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 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/61440 (pow PI 5))) into (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) into (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (+ (* (- -5) (log f)) (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 (pow PI 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 4))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (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 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ 0 (* 1/61440 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
* [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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 4)))) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (* 0 (pow PI 5)))) into 0
* [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 (- (/ 0 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ (* 1/192 (pow PI 3)) (* 1/61440 (pow PI 5)))) (* 0 (/ 0 (* 1/61440 (pow PI 5)))))) into (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 1)))) 2) into (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) into (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (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 (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) 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 0) (* 0 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ 0 (* 1/61440 (pow PI 5)))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/61440 (pow PI 5)))) (* (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7))))) (/ 0 (* 1/61440 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 PI) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) 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 0) (+ (* 0 0) (* 0 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ (* 1/2 PI) (* 1/61440 (pow PI 5)))) (* 0 (/ 0 (* 1/61440 (pow PI 5)))) (* (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7))))) (/ (* 1/192 (pow PI 3)) (* 1/61440 (pow PI 5)))) (* 0 (/ 0 (* 1/61440 (pow PI 5)))))) into (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 9))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 2)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 9))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 1)))) 24) into (* 1/24 (- (+ (* 1720320 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 2457600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))
* [misc]backup-simplify:  Simplify (* 1/24 (- (+ (* 1720320 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 2457600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))) into (* 1/24 (- (+ (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1720320 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 2457600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (- (+ (* 1720320 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1720320 (/ (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 2457600 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1228800 (/ (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)))) (* 1228800 (/ (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)))))))) (pow (/ 1 f) 4)) (+ (* (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 640 (/ (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 2)) (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 5)))) (* 5 (log (/ 1 f)))))) into (- (+ (* 71680 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 4))))) (+ (* 5 (log (/ 1 f))) (+ (log (* 61440 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5)))) (* 71680 (/ (exp (* 1/4 (* PI f))) (* (pow PI 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 4)))))))) (+ (* 51200 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (+ (* 320 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (+ (* 51200 (/ (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (+ (* 102400 (/ (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (* 320 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))))))))
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* -1 (pow PI 5)) into (* -1 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* -1 (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 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/61440 (pow PI 5)))) into (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))) into (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* -1 (pow PI 5)) into (* -1 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* -1 (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 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/61440 (pow PI 5)))) into (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))) into (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (+ (* (- -5) (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 (pow PI 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 4))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (* -1 (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 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ 0 (- (* 1/61440 (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
* [misc]backup-simplify:  Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (* -1 (pow PI 3))) into (* -1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 4)))) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (* 0 (* -1 (pow PI 5))))) into 0
* [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 (- (/ 0 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ (- (* 1/192 (pow PI 3))) (- (* 1/61440 (pow PI 5))))) (* 0 (/ 0 (- (* 1/61440 (pow PI 5))))))) into (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 1)))) 2) into (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (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 (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (* -1 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (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 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ 0 (- (* 1/61440 (pow PI 5))))) (* 0 (/ (- (* 1/192 (pow PI 3))) (- (* 1/61440 (pow PI 5))))) (* (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7)))) (/ 0 (- (* 1/61440 (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) 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 0) (+ (* 0 0) (* 0 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 (* -1 (pow PI 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ (- (* 1/2 PI)) (- (* 1/61440 (pow PI 5))))) (* 0 (/ 0 (- (* 1/61440 (pow PI 5))))) (* (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7)))) (/ (- (* 1/192 (pow PI 3))) (- (* 1/61440 (pow PI 5))))) (* 0 (/ 0 (- (* 1/61440 (pow PI 5))))))) into (- (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (* -1/4 (/ PI f))) (pow PI 9)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* 1 (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 2)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (* -1/4 (/ PI f))) (pow PI 9)))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 1)))) 24) into (* 1/24 (- (+ (* 1720320 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 2457600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))))))))
* [misc]backup-simplify:  Simplify (* 1/24 (- (+ (* 1720320 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 2457600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))))))) into (* 1/24 (- (+ (* 1720320 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 1228800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 2457600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (- (+ (* 1720320 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (* 1720320 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))))) (+ (* 1228800 (/ (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)))) (+ (* 1228800 (/ (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)))) (* 2457600 (/ (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2)))))))) (pow (/ 1 (- f)) 4)) (+ (* (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (* 640 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (pow (/ 1 (- f)) 2)) (+ (* 5 (log (/ 1 (- f)))) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) (pow PI 5))))))) into (- (+ (* 71680 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))))) (+ (log (* -61440 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))) (+ (* 5 (log (/ -1 f))) (* 71680 (/ (exp (* 1/4 (* PI f))) (* (pow PI 4) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 4)))))))) (+ (* 51200 (/ (pow (exp (* -1/4 (* PI f))) 2) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))))) (+ (* 320 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (+ (* 320 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 102400 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))))) (* 51200 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow PI 4) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 4))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1 2 2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2 1 2 2 2 2 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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
* [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 (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [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 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/61440 (pow PI 5))) into (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) into (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [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 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/61440 (pow PI 5))) into (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) into (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (+ (* (- -5) (log f)) (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))) into (* 4 (/ (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f))) PI)) into (* 4 (/ (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 (pow PI 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 4))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (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 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ 0 (* 1/61440 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 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 (+ (* (- -5) (log f)) (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
* [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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 4)))) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (* 0 (pow PI 5)))) into 0
* [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 (- (/ 0 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ (* 1/192 (pow PI 3)) (* 1/61440 (pow PI 5)))) (* 0 (/ 0 (* 1/61440 (pow PI 5)))))) into (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 1)))) 2) into (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (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)) (* 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 (+ (* (- -5) (log f)) (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))))) into (- (+ (* 1280 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1280 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1280 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1280 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) into (- (+ (* 1280 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1280 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) 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 0) (* 0 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ 0 (* 1/61440 (pow PI 5)))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/61440 (pow PI 5)))) (* (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7))))) (/ 0 (* 1/61440 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 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 (+ (* (- -5) (log f)) (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 PI) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) 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 0) (+ (* 0 0) (* 0 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/61440 (pow PI 5))) (+ (* (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) (/ (* 1/2 PI) (* 1/61440 (pow PI 5)))) (* 0 (/ 0 (* 1/61440 (pow PI 5)))) (* (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7))))) (/ (* 1/192 (pow PI 3)) (* 1/61440 (pow PI 5)))) (* 0 (/ 0 (* 1/61440 (pow PI 5)))))) into (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 9))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (+ (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 7)))))) 2)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (- (* 1/4 (/ PI f)))) (pow PI 9))))) 1)) (pow (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))) 1)))) 24) into (* 1/24 (- (+ (* 1720320 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 2457600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 4) (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)) (* 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 (+ (* (- -5) (log f)) (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5))))) into (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/24 (- (+ (* 1720320 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 2457600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 4) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))) (+ (* 0 0) (+ (* 0 (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 640 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 2) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (pow PI 5)))) (* 5 (log f)))))))) into (- (+ (* 286720 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 286720 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 409600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 286720 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 286720 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 409600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))) into (- (+ (* 286720 (/ (exp (- (* 1/4 (/ PI f)))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 286720 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (/ PI f)))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 409600 (/ (* (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 286720 (/ (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 286720 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (* 409600 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow PI 5) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2))))))) (pow (/ 1 f) 4)) (+ (* (- (+ (* 1280 (/ (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1280 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 2)) (* 4 (/ (+ (log (* 61440 (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 5)))) (* 5 (log (/ 1 f)))) PI)))) into (- (+ (* 286720 (/ (exp (* 1/4 (* PI f))) (* (pow f 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5))))) (+ (* 286720 (/ (exp (- (* 1/4 (* PI f)))) (* (pow f 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5))))) (+ (* 20 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 61440 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5)))) PI))))) (+ (* 1280 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))) (+ (* 204800 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))) (+ (* 1280 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (* 409600 (/ (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))))))))
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* -1 (pow PI 5)) into (* -1 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* -1 (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 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/61440 (pow PI 5)))) into (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))) into (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))
* [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 (/ 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 (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (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 (/ 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 (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [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 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
* [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* -1 (pow PI 5)) into (* -1 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* -1 (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 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/61440 (pow PI 5)))) into (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))) into (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (+ (* (- -5) (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))) into (* 4 (/ (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) PI)) into (* 4 (/ (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 (pow PI 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 4))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (* -1 (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 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ 0 (- (* 1/61440 (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 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 (+ (* (- -5) (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
* [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
* [misc]backup-simplify:  Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (* -1 (pow PI 3))) into (* -1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 4)))) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (* 0 (* -1 (pow PI 5))))) into 0
* [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 (- (/ 0 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ (- (* 1/192 (pow PI 3))) (- (* 1/61440 (pow PI 5))))) (* 0 (/ 0 (- (* 1/61440 (pow PI 5))))))) into (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 1)))) 2) into (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (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)) (* 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 (+ (* (- -5) (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))))) into (- (+ (* 1280 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1280 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1280 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1280 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (- (+ (* 1280 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1280 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (* -1 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (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 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ 0 (- (* 1/61440 (pow PI 5))))) (* 0 (/ (- (* 1/192 (pow PI 3))) (- (* 1/61440 (pow PI 5))))) (* (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7)))) (/ 0 (- (* 1/61440 (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 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 (+ (* (- -5) (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) 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 0) (+ (* 0 0) (* 0 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 (* -1 (pow PI 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 5)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 5))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/61440 (pow PI 5)))) (+ (* (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) (/ (- (* 1/2 PI)) (- (* 1/61440 (pow PI 5))))) (* 0 (/ 0 (- (* 1/61440 (pow PI 5))))) (* (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7)))) (/ (- (* 1/192 (pow PI 3))) (- (* 1/61440 (pow PI 5))))) (* 0 (/ 0 (- (* 1/61440 (pow PI 5))))))) into (- (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (* -1/4 (/ PI f))) (pow PI 9)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 3))) (* -3 (/ (* 1 (pow (* 2 (+ (* 19660800 (/ (exp (* -1/4 (/ PI f))) (pow PI 7))) (* 19660800 (/ (exp (* 1/4 (/ PI f))) (pow PI 7))))) 2)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (+ (* 4404019200 (/ (exp (* 1/4 (/ PI f))) (pow PI 9))) (* 4404019200 (/ (exp (* -1/4 (/ PI f))) (pow PI 9)))))) 1)) (pow (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))) 1)))) 24) into (* 1/24 (- (+ (* 1720320 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 2457600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 4) (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)) (* 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 (+ (* (- -5) (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5))))) into (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/24 (- (+ (* 1720320 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1720320 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 4) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 1228800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 2457600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 1228800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 4) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))))))))) (+ (* 0 0) (+ (* 0 (* -1/2 (+ (* 640 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 640 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 5 (log f)) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 5)))))))))) into (- (+ (* 286720 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 286720 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 204800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 409600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 204800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 286720 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 286720 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 204800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 409600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 204800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))))))) into (- (+ (* 286720 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 286720 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (+ (* 204800 (/ (pow (exp (* -1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (+ (* 204800 (/ (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))) (* 409600 (/ (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 286720 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (* 286720 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 5) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))))) (+ (* 204800 (/ (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2)))) (+ (* 204800 (/ (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2)))) (* 409600 (/ (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) (* (pow PI 5) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))))))) (pow (/ 1 (- f)) 4)) (+ (* (- (+ (* 1280 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (* 1280 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (pow (/ 1 (- f)) 2)) (* 4 (/ (+ (* 5 (log (/ 1 (- f)))) (log (* -61440 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) (pow PI 5))))) PI)))) into (- (+ (* 286720 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow f 4) (pow PI 5))))) (+ (* 4 (/ (log (* -61440 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))) PI)) (+ (* 20 (/ (log (/ -1 f)) PI)) (* 286720 (/ (exp (* 1/4 (* PI f))) (* (pow f 4) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow f 4) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow PI 5))))) (+ (* 409600 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow f 4) (pow PI 5))))) (+ (* 204800 (/ (pow (exp (* -1/4 (* PI f))) 2) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow f 4) (pow PI 5))))) (+ (* 1280 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 1280 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 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:  [ 2 / 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:  [ 3 / 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:  [ 4 / 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:  [ 5 / 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 (85 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (198 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:  [ 6 / 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:  [ 7 / 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:  [ 8 / 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (59 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:  [ 9 / 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* 1/192 f) PI) (* (* f PI) (* 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)))) (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* 1/192 f) PI) (* (* f PI) (* 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:  [ 10 / 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI 1/192) f) (* (* f PI) (* 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))) (* (* (* PI 1/192) f) (* (* f PI) (* 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:  [ 11 / 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 0
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (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:  [ 12 / 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* 1/192 f) PI) (* (* f PI) (* 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)))) (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))))))) (- (log (cbrt (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* 1/192 f) PI) (* (* f PI) (* 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:  [ 13 / 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI 1/192) f) (* (* f PI) (* 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))) (* (* (* PI 1/192) f) (* (* f PI) (* 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:  [ 14 / 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 0
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (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:  [ 15 / 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 0
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (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:  [ 16 / 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:  [ 17 / 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 (74 enodes)
* * [misc]simplify:  iters left: 4 (181 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) (* (* 1/8 (* f PI)) (* (* f PI) (* f PI))))))
* [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) (* (* 1/8 (* f PI)) (* (* f PI) (* f PI)))))) (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:  [ 18 / 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 (228 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* f PI) (* 1/4 (* f PI))) (* (+ (* (* 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)))) (- (* (* f PI) (* 1/4 (* f PI))) (* (+ (* (* 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:  [ 19 / 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:  [ 20 / 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:  [ 21 / 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:  [ 22 / 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:  [ 23 / 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:  [ 24 / 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:  [ 25 / 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:  [ 26 / 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:  [ 27 / 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:  [ 28 / 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:  [ 29 / 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:  [ 30 / 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:  [ 31 / 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:  [ 32 / 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:  [ 33 / 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:  [ 34 / 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:  [ 35 / 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:  [ 36 / 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:  [ 37 / 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:  [ 38 / 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:  [ 39 / 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:  [ 40 / 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:  [ 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 (pow PI 5) 1))))))))))>
* * * * [misc]progress:  [ 42 / 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:  [ 43 / 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:  [ 44 / 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:  [ 45 / 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:  [ 46 / 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:  [ 47 / 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:  [ 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 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* (* 1/192 f) (* PI 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)) (+ (* (* (* 1/192 f) (* PI 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 (151 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* * [misc]simplify:  iters left: 2 (471 enodes)
* [exit]simplify:  Simplified to (+ (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ f 4) PI))) (+ (* (* (* 1/192 f) (* f PI)) (* (* f PI) PI)) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* f (* PI 1/2))))))) (log (/ 4 PI)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (exp (+ (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ f 4) PI))) (+ (* (* (* 1/192 f) (* f PI)) (* (* f PI) PI)) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* f (* PI 1/2))))))) (log (/ 4 PI))))))
* * * * [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 (* (* (/ 64 (pow PI 3)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* 1/192 (* PI PI)) (* (* PI f) (* f f))) (* (* PI 1/2) f)))))) (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* 1/192 (* PI PI)) (* (* PI f) (* f f))) (* (* PI 1/2) f))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* 1/192 (* PI PI)) (* (* PI f) (* f f))) (* (* PI 1/2) f)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (/ 64 (pow PI 3)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* 1/192 (* PI PI)) (* (* PI f) (* f f))) (* (* PI 1/2) f)))))) (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* 1/192 (* PI PI)) (* (* PI f) (* f f))) (* (* PI 1/2) f))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* 1/192 (* PI PI)) (* (* PI f) (* f f))) (* (* 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 (275 enodes)
* * [misc]simplify:  iters left: 2 (496 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 (275 enodes)
* * [misc]simplify:  iters left: 2 (496 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (cbrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (cbrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (sqrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (sqrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (305 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 f) PI) (* (* 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 (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 f) PI) (* (* 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (cbrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (cbrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (sqrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (* (/ f 4) (- PI))) (exp (* (/ f 4) PI)))) (sqrt (+ (* (* (* 1/192 PI) f) (* (* f f) (* PI 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 (305 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 f) PI) (* (* 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 (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (+ (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* (* PI 1/2) f)) (* (* (* 1/192 f) PI) (* (* 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 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* (* 1/192 f) (* PI 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)) (+ (* (* (* 1/192 f) (* PI 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 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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 (306 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f 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 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* (* 1/192 f) (* PI 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)) (+ (* (* (* 1/192 f) (* PI 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 (308 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* (* 1/192 f) (* PI 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)) (+ (* (* (* 1/192 f) (* PI 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 (124 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (* (/ -4 PI) (log (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* f (* 1/2 PI)) (* (* (* PI PI) 1/192) (* (* 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 PI) 1/192) (* (* 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 (315 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)) (* (* f PI) 1/384)) (- (* (* (* f PI) 1/122880) (* (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)) (* (* f PI) 1/384)) (- (* (* (* f PI) 1/122880) (* (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 (289 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (- (* (* f PI) 1/2) (- (* (* (* PI PI) (* 1/192 f)) (* PI (* f f))) (* (* -1/61440 (pow f 5)) (pow PI 5))))))
* [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) (- (* (* (* PI PI) (* 1/192 f)) (* PI (* f f))) (* (* -1/61440 (pow f 5)) (pow PI 5)))))))))
* * * * [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 (279 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))) (+ (+ (* (* (* 1/192 PI) f) (* (* PI PI) (* f f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))
* [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))) (/ (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))) (+ (+ (* (* (* 1/192 PI) f) (* (* PI PI) (* f f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)))))
* * * * [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 (279 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))) (+ (+ (* (* (* 1/192 PI) f) (* (* PI PI) (* f f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))
* [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))) (/ (log (sqrt (/ (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))) (+ (+ (* (* (* 1/192 PI) f) (* (* PI PI) (* f f))) (* f (* 1/2 PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)))))
* * * * [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 (313 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (313 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (313 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (* (* (* 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 PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (* (* (* 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 (313 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (313 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (+ (+ (* (* (* f 1/192) (* PI PI)) (* 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 (313 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (* (* (* 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 PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (* (* (* 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 (315 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 4) PI)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 (315 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 4) PI)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* 1/192 f) PI) (* (* 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 (/ (- PI) (/ 4 f)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* 1/192 f) PI) (* (* 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 (315 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 4) PI)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 (315 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 4) PI)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (* (* (* 1/192 PI) (* f f)) (* 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 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* 1/192 f) PI) (* (* 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 (/ (- PI) (/ 4 f)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* 1/192 f) PI) (* (* 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 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* 1/192 f) PI) (* (* 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 (/ (- PI) (/ 4 f)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* 1/192 f) PI) (* (* 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 (124 enodes)
* * [misc]simplify:  iters left: 3 (290 enodes)
* [exit]simplify:  Simplified to (* (log (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* PI PI) (* f PI)) (* (* 1/192 f) f)))) (/ -4 PI))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (log (+ (+ (* PI (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (* PI PI) (* f PI)) (* (* 1/192 f) f)))) (/ -4 PI)))))
* * * * [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 (315 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))))) (+ (* (* (* PI f) 1/122880) (* (pow PI 5) (pow f 5))) (- (* (* (pow PI 3) (pow f 3)) (* (* PI f) 1/384)) (* (* PI f) (* (* PI f) 1/4)))))) (/ 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))))) (+ (* (* (* PI f) 1/122880) (* (pow PI 5) (pow f 5))) (- (* (* (pow PI 3) (pow f 3)) (* (* PI f) 1/384)) (* (* PI f) (* (* PI f) 1/4)))))) (/ 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 (284 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (- (* (* PI f) 1/2) (- (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* (pow f 5) (* -1/61440 (pow PI 5)))))))
* [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) (- (* (* PI (* 1/192 f)) (* (* PI PI) (* f f))) (* (pow f 5) (* -1/61440 (pow PI 5))))))))))
* * * * [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)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 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)
* * [misc]simplify:  iters left: 1 (17 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 (/ 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 (245 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:  [ 107 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (* 71680 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 4))))) (+ (* 5 (log (/ 1 f))) (+ (log (* 61440 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5)))) (* 71680 (/ (exp (* 1/4 (* PI f))) (* (pow PI 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 4)))))))) (+ (* 51200 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (+ (* 320 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (+ (* 51200 (/ (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (+ (* 102400 (/ (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (* 320 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2)))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 71680 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 4))))) (+ (* 5 (log (/ 1 f))) (+ (log (* 61440 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5)))) (* 71680 (/ (exp (* 1/4 (* PI f))) (* (pow PI 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 4)))))))) (+ (* 51200 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (+ (* 320 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (+ (* 51200 (/ (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (+ (* 102400 (/ (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (* (pow PI 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow f 4))))) (* 320 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))))))))
* * [misc]simplify:  iters left: 6 (61 enodes)
* * [misc]simplify:  iters left: 5 (169 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (+ (- (* 5 (log f))) (/ (* 71680 (/ (pow (exp 1/4) (* PI f)) (pow PI 4))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4)))) (log (/ (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) 61440) (pow PI 5)))) (- (/ (* (/ (pow (exp -1/4) (* PI f)) (pow PI 4)) 71680) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))) (/ (/ (* (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) 51200) (pow PI 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4)))))) (+ (+ (/ (* 320 (/ (pow (exp 1/4) (* PI f)) (* PI PI))) (* (* f f) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (/ 102400 (pow PI 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))))) (+ (/ (* (* 51200 (pow (exp -1/4) (* PI f))) (pow (exp -1/4) (* PI f))) (* (* (pow PI 4) (pow f 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (/ (/ 320 (pow (exp 1/4) (* PI f))) (* (* (* PI PI) (* f f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (+ (+ (- (* 5 (log f))) (/ (* 71680 (/ (pow (exp 1/4) (* PI f)) (pow PI 4))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4)))) (log (/ (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) 61440) (pow PI 5)))) (- (/ (* (/ (pow (exp -1/4) (* PI f)) (pow PI 4)) 71680) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))) (/ (/ (* (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) 51200) (pow PI 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4)))))) (+ (+ (/ (* 320 (/ (pow (exp 1/4) (* PI f)) (* PI PI))) (* (* f f) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (/ 102400 (pow PI 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))))) (+ (/ (* (* 51200 (pow (exp -1/4) (* PI f))) (pow (exp -1/4) (* PI f))) (* (* (pow PI 4) (pow f 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (/ (/ 320 (pow (exp 1/4) (* PI f))) (* (* (* PI PI) (* f f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))))))))
* * * * [misc]progress:  [ 108 / 113 ] simplifiying candidate #<alt (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (* 71680 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))))) (+ (log (* -61440 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))) (+ (* 5 (log (/ -1 f))) (* 71680 (/ (exp (* 1/4 (* PI f))) (* (pow PI 4) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 4)))))))) (+ (* 51200 (/ (pow (exp (* -1/4 (* PI f))) 2) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))))) (+ (* 320 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (+ (* 320 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 102400 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))))) (* 51200 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow PI 4) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 4)))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 71680 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))))) (+ (log (* -61440 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))) (+ (* 5 (log (/ -1 f))) (* 71680 (/ (exp (* 1/4 (* PI f))) (* (pow PI 4) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 4)))))))) (+ (* 51200 (/ (pow (exp (* -1/4 (* PI f))) 2) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))))) (+ (* 320 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (+ (* 320 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 102400 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))))) (* 51200 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow PI 4) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 4))))))))))
* * [misc]simplify:  iters left: 6 (67 enodes)
* * [misc]simplify:  iters left: 5 (182 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (* 5 (log (/ -1 f))) (log (* -61440 (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5))))) (+ (/ (* 71680 (/ (pow (exp 1/4) (* PI f)) (pow PI 4))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))) (/ (* 71680 (pow (exp -1/4) (* PI f))) (* (* (pow f 4) (pow PI 4)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (+ (+ (* (/ 51200 (* (pow f 4) (pow PI 4))) (* (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (+ (* (/ 320 (* (* PI PI) (* f f))) (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (* 320 (/ (pow (exp 1/4) (* PI f)) (* PI PI))) (* (* f f) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (+ (/ (/ (* (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) 51200) (pow PI 4)) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (pow f 4))) (* (/ 102400 (* (pow f 4) (pow PI 4))) (* (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp 1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (+ (* 5 (log (/ -1 f))) (log (* -61440 (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5))))) (+ (/ (* 71680 (/ (pow (exp 1/4) (* PI f)) (pow PI 4))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))) (/ (* 71680 (pow (exp -1/4) (* PI f))) (* (* (pow f 4) (pow PI 4)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (+ (+ (* (/ 51200 (* (pow f 4) (pow PI 4))) (* (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (+ (* (/ 320 (* (* PI PI) (* f f))) (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (* 320 (/ (pow (exp 1/4) (* PI f)) (* PI PI))) (* (* f f) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (+ (/ (/ (* (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) 51200) (pow PI 4)) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (pow f 4))) (* (/ 102400 (* (pow f 4) (pow PI 4))) (* (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp 1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))))))))
* * * * [misc]progress:  [ 109 / 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:  [ 110 / 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:  [ 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 (251 enodes)
* * [misc]simplify:  iters left: 2 (473 enodes)
* [exit]simplify:  Simplified to (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))))
* * * * [misc]progress:  [ 112 / 113 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 286720 (/ (exp (* 1/4 (* PI f))) (* (pow f 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5))))) (+ (* 286720 (/ (exp (- (* 1/4 (* PI f)))) (* (pow f 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5))))) (+ (* 20 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 61440 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5)))) PI))))) (+ (* 1280 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))) (+ (* 204800 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))) (+ (* 1280 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (* 409600 (/ (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 286720 (/ (exp (* 1/4 (* PI f))) (* (pow f 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5))))) (+ (* 286720 (/ (exp (- (* 1/4 (* PI f)))) (* (pow f 4) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5))))) (+ (* 20 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 61440 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow PI 5)))) PI))))) (+ (* 1280 (/ (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (+ (* 204800 (/ (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))) (+ (* 204800 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))) (+ (* 1280 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (pow f 2))))) (* 409600 (/ (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (* (pow f 4) (* (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2) (pow PI 5))))))))))
* * [misc]simplify:  iters left: 6 (65 enodes)
* * [misc]simplify:  iters left: 5 (180 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (+ (/ (* 286720 (pow (exp 1/4) (* PI f))) (* (* (pow f 4) (pow PI 5)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (/ (* 286720 (pow (exp -1/4) (* PI f))) (pow f 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)))) (/ (* (- (log f)) 20) PI)) (* (/ (log (* (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)) 61440)) PI) 4)) (+ (+ (/ (* 1280 (pow (exp -1/4) (* PI f))) (* (* (pow PI 3) (* f f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (+ (/ (* 204800 (/ (pow (exp -1/4) (* PI f)) (/ (pow f 4) (pow (exp -1/4) (* PI f))))) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (* 204800 (/ (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (+ (/ 409600 (* (* (pow f 4) (pow PI 5)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (/ (* 1280 (/ (pow (exp 1/4) (* PI f)) (pow PI 3))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* f f))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (- (+ (+ (+ (/ (* 286720 (pow (exp 1/4) (* PI f))) (* (* (pow f 4) (pow PI 5)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (/ (* 286720 (pow (exp -1/4) (* PI f))) (pow f 4)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)))) (/ (* (- (log f)) 20) PI)) (* (/ (log (* (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)) 61440)) PI) 4)) (+ (+ (/ (* 1280 (pow (exp -1/4) (* PI f))) (* (* (pow PI 3) (* f f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (+ (/ (* 204800 (/ (pow (exp -1/4) (* PI f)) (/ (pow f 4) (pow (exp -1/4) (* PI f))))) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (* 204800 (/ (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4))) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (+ (/ 409600 (* (* (pow f 4) (pow PI 5)) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (/ (* 1280 (/ (pow (exp 1/4) (* PI f)) (pow PI 3))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* f f))))))))
* * * * [misc]progress:  [ 113 / 113 ] simplifiying candidate #<alt (λ (f) (- (- (+ (* 286720 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow f 4) (pow PI 5))))) (+ (* 4 (/ (log (* -61440 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))) PI)) (+ (* 20 (/ (log (/ -1 f)) PI)) (* 286720 (/ (exp (* 1/4 (* PI f))) (* (pow f 4) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow f 4) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow PI 5))))) (+ (* 409600 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow f 4) (pow PI 5))))) (+ (* 204800 (/ (pow (exp (* -1/4 (* PI f))) 2) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow f 4) (pow PI 5))))) (+ (* 1280 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 1280 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 286720 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow f 4) (pow PI 5))))) (+ (* 4 (/ (log (* -61440 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))) PI)) (+ (* 20 (/ (log (/ -1 f)) PI)) (* 286720 (/ (exp (* 1/4 (* PI f))) (* (pow f 4) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 5)))))))) (+ (* 204800 (/ (pow (exp (* 1/4 (* PI f))) 2) (* (pow f 4) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow PI 5))))) (+ (* 409600 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow f 4) (pow PI 5))))) (+ (* 204800 (/ (pow (exp (* -1/4 (* PI f))) 2) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (* (pow f 4) (pow PI 5))))) (+ (* 1280 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 1280 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))))))))
* * [misc]simplify:  iters left: 6 (71 enodes)
* * [misc]simplify:  iters left: 5 (195 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (/ (log (* -61440 (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)))) PI) 4) (+ (* 20 (/ (log (/ -1 f)) PI)) (/ (* 286720 (/ (pow (exp 1/4) (* PI f)) (pow f 4))) (* (pow PI 5) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (- (/ (/ (* 286720 (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (pow f 4) (pow PI 5))) (+ (+ (/ (* (/ (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4)) 204800) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (pow PI 5))) (/ (* 409600 (pow (exp -1/4) (* PI f))) (/ (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp 1/4) (* PI f)) (* (pow f 4) (pow PI 5)))))) (+ (+ (/ (* 1280 (pow (exp 1/4) (* PI f))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (* f f) (pow PI 3)))) (/ (* (pow (exp -1/4) (* PI f)) 1280) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (* f f) (pow PI 3))))) (* (/ 204800 (* (pow f 4) (pow PI 5))) (* (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (+ (+ (* (/ (log (* -61440 (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 5)))) PI) 4) (+ (* 20 (/ (log (/ -1 f)) PI)) (/ (* 286720 (/ (pow (exp 1/4) (* PI f)) (pow f 4))) (* (pow PI 5) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) (- (/ (/ (* 286720 (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (pow f 4) (pow PI 5))) (+ (+ (/ (* (/ (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow f 4)) 204800) (* (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (pow PI 5))) (/ (* 409600 (pow (exp -1/4) (* PI f))) (/ (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp 1/4) (* PI f)) (* (pow f 4) (pow PI 5)))))) (+ (+ (/ (* 1280 (pow (exp 1/4) (* PI f))) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (* f f) (pow PI 3)))) (/ (* (pow (exp -1/4) (* PI f)) 1280) (* (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (* (* f f) (pow PI 3))))) (* (/ 204800 (* (pow f 4) (pow PI 5))) (* (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))))))> #<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 (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4)))))> #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (- (log f) (log 4)) (/ 4 PI)) (* (log PI) (/ 4 PI))))))> #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<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)))))) (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)))))))))))> #<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))))))> #<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))))))) (/ PI 4)))))> #<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 (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (f)
* * * * [misc]regimes:  Trying to branch on f from (#<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))))))> #<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 (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4)))))> #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (+ (* (- (log f) (log 4)) (/ 4 PI)) (* (log PI) (/ 4 PI))))))> #<alt (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (cbrt (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI)))))))))> #<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)))))) (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)))))))))))> #<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))))))> #<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))))))) (/ PI 4)))))> #<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 (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 5 256))>
* [enter]simplify:  Simplifying (- (* (/ 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]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (+ (* 1/2 (* f PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (pow f 3) (pow PI 3)) 1/192)))))) (/ -1 (/ PI 4)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5958 additional inputs, on iter 1 have 2042 / 8000
* * * * [misc]points:  Computing exacts on every 372 of 5958 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 186 of 5958 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 93 of 5958 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 5958 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 5958 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 5958 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 5958 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 5958 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 5958 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 4428 additional inputs, on iter 2 have 3572 / 8000
* * * * [misc]points:  Computing exacts on every 276 of 4428 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 138 of 4428 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 69 of 4428 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 4428 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 4428 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 4428 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 4428 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 4428 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 4428 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 3274 additional inputs, on iter 3 have 4726 / 8000
* * * * [misc]points:  Computing exacts on every 204 of 3274 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 102 of 3274 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 51 of 3274 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 3274 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 3274 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 3274 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 3274 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3274 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 2470 additional inputs, on iter 4 have 5530 / 8000
* * * * [misc]points:  Computing exacts on every 154 of 2470 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 77 of 2470 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 38 of 2470 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 19 of 2470 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 2470 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 2470 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 2470 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2470 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 1820 additional inputs, on iter 5 have 6180 / 8000
* * * * [misc]points:  Computing exacts on every 113 of 1820 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 56 of 1820 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 28 of 1820 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 14 of 1820 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 1820 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 1820 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1820 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 1361 additional inputs, on iter 6 have 6639 / 8000
* * * * [misc]points:  Computing exacts on every 85 of 1361 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 42 of 1361 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 21 of 1361 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 1361 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 1361 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 1361 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1361 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 1023 additional inputs, on iter 7 have 6977 / 8000
* * * * [misc]points:  Computing exacts on every 63 of 1023 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 1023 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 1023 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 1023 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 1023 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1023 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 763 additional inputs, on iter 8 have 7237 / 8000
* * * * [misc]points:  Computing exacts on every 47 of 763 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 763 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 763 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 763 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 763 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 763 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 555 additional inputs, on iter 9 have 7445 / 8000
* * * * [misc]points:  Computing exacts on every 34 of 555 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 555 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 555 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 555 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 555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 555 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 411 additional inputs, on iter 10 have 7589 / 8000
* * * * [misc]points:  Computing exacts on every 25 of 411 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 411 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 411 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 411 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 411 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 325 additional inputs, on iter 11 have 7675 / 8000
* * * * [misc]points:  Computing exacts on every 20 of 325 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 325 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 325 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 325 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 325 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 249 additional inputs, on iter 12 have 7751 / 8000
* * * * [misc]points:  Computing exacts on every 15 of 249 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 249 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 249 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 249 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 197 additional inputs, on iter 13 have 7803 / 8000
* * * * [misc]points:  Computing exacts on every 12 of 197 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 197 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 197 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 197 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 153 additional inputs, on iter 14 have 7847 / 8000
* * * * [misc]points:  Computing exacts on every 9 of 153 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 153 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 153 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 153 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 102 additional inputs, on iter 15 have 7898 / 8000
* * * * [misc]points:  Computing exacts on every 6 of 102 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 102 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 102 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 76 additional inputs, on iter 16 have 7924 / 8000
* * * * [misc]points:  Computing exacts on every 4 of 76 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 76 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 76 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 59 additional inputs, on iter 17 have 7941 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 59 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 59 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 39 additional inputs, on iter 18 have 7961 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 39 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 39 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 19 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 20 have 7977 / 8000
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 21 have 7982 / 8000
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 15 additional inputs, on iter 22 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 13 additional inputs, on iter 23 have 7987 / 8000
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 24 have 7987 / 8000
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 12 additional inputs, on iter 25 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 10 additional inputs, on iter 26 have 7990 / 8000
* * * * [misc]points:  Computing exacts for 10 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 9 additional inputs, on iter 27 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 28 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 6 additional inputs, on iter 29 have 7994 / 8000
* * * * [misc]points:  Computing exacts for 6 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 30 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 31 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 32 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 33 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 34 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 35 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 36 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
* * * * [exit]points:  Sampled 8000 points with exact outputs