* [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 181 additional inputs, on iter 1 have 75 / 256
* * * * [misc]points:  Computing exacts on every 11 of 181 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 181 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 181 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 181 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 128 additional inputs, on iter 2 have 128 / 256
* * * * [misc]points:  Computing exacts on every 8 of 128 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 128 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 128 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 128 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 92 additional inputs, on iter 3 have 164 / 256
* * * * [misc]points:  Computing exacts on every 5 of 92 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 92 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 92 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 75 additional inputs, on iter 4 have 181 / 256
* * * * [misc]points:  Computing exacts on every 4 of 75 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 75 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 75 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 57 additional inputs, on iter 5 have 199 / 256
* * * * [misc]points:  Computing exacts on every 3 of 57 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 57 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 37 additional inputs, on iter 6 have 219 / 256
* * * * [misc]points:  Computing exacts on every 2 of 37 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 37 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 27 additional inputs, on iter 7 have 229 / 256
* * * * [misc]points:  Computing exacts for 27 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 22 additional inputs, on iter 8 have 234 / 256
* * * * [misc]points:  Computing exacts for 22 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 15 additional inputs, on iter 10 have 241 / 256
* * * * [misc]points:  Computing exacts for 15 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 10 additional inputs, on iter 11 have 246 / 256
* * * * [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 8 additional inputs, on iter 12 have 248 / 256
* * * * [misc]points:  Computing exacts for 8 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6 additional inputs, on iter 13 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 4 additional inputs, on iter 14 have 252 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 15 have 253 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 16 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 17 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 257 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 1
* [misc]none:  Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))): 0
* [misc]none:  Best fresh alt per point
* [misc]none:  (2.1811945854006548e-306): 0
* [misc]none:  (6.744044543218371): 0
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* [misc]none:  (3.0442880854679596e-31): 0
* [misc]none:  All alt indices
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* [misc]none:  Best alt per point
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* [misc]none:  (3.2574885636926814e-211): 0
* [misc]none:  (1.3680169753287455e-53): 0
* [misc]none:  (2.2957389429922706e-176): 0
* [misc]none:  (1.9963004369674967e-80): 0
* [misc]none:  (1.5216315041338872e-218): 0
* [misc]none:  (1.6707151526371295e-190): 0
* [misc]none:  (5.1990169359560766e-256): 0
* [misc]none:  (8.044445972631143e-28): 0
* [misc]none:  (4.12100928340286e-184): 0
* [misc]none:  (8.361834195928021e-55): 0
* [misc]none:  (7.311006071291519e-101): 0
* [misc]none:  (8.382633428275648e-297): 0
* [misc]none:  (6.099737398723264e-279): 0
* [misc]none:  (2.6679523035634032e-104): 0
* [misc]none:  (2.870509274337958e-101): 0
* [misc]none:  (5.0588074473585105e-110): 0
* [misc]none:  (1.4351275309127672e-234): 0
* [misc]none:  (4.416557773834991e-25): 0
* [misc]none:  (3.0442880854679596e-31): 0
* [misc]none:  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]pick:  Picked  #<alt-event (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 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))
* [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 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI (/ 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 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log 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]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 (* PI f))
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (* 1/4 PI) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) (/ 1 (/ 1 f))) into (* 1/4 (* PI f))
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* -1/4 PI) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1/4 PI) (/ 1 (/ 1 (- f)))) into (* 1/4 (* PI f))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 2 / 158 ] simplifiying candidate #<alt-delta (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (exp (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 4 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 5 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [enter]simplify:  Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 6 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [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 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (386 enodes)
* [exit]simplify:  Simplified to (pow (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) 3)
* [exit]simplify:  Simplified to (pow (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) 3)
* * * * [misc]progress:  [ 7 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [enter]simplify:  Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 8 / 158 ] simplifiying candidate #<alt-delta (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 (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (319 enodes)
* [exit]simplify:  Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f))))
* [exit]simplify:  Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f 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 (+ 1 (+ (exp (* (/ PI 4) (+ f f))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))))
* [exit]simplify:  Simplified to (+ 1 (+ (exp (* (/ PI 4) (+ f f))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))))
* * * * [misc]progress:  [ 9 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (- (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (/ (- 1) (pow (exp f) (/ PI 4)))
* [exit]simplify:  Simplified to (/ (- 1) (pow (exp f) (/ PI 4)))
* * * * [misc]progress:  [ 10 / 158 ] simplifiying candidate #<alt-delta (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (214 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))))
* [exit]simplify:  Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))))
* [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 (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))
* [exit]simplify:  Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))
* * * * [misc]progress:  [ 12 / 158 ] simplifiying candidate #<alt-delta (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 (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))
* [exit]simplify:  Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (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 (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 13 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* [exit]simplify:  Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))
* [exit]simplify:  Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))
* * * * [misc]progress:  [ 14 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (- (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (/ (- 1) (pow (exp f) (/ PI 4)))
* [exit]simplify:  Simplified to (/ (- 1) (pow (exp f) (/ PI 4)))
* * * * [misc]progress:  [ 15 / 158 ] simplifiying candidate #<alt-delta (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* [exit]simplify:  Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 17 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* * * * [misc]progress:  [ 18 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (log (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 19 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (cbrt (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (170 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3)
* [exit]simplify:  Simplified to (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-delta (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)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (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)))))))
* [exit]simplify:  Simplified to (* (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)))))))
* [enter]simplify:  Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 21 / 158 ] simplifiying candidate #<alt-delta (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 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (495 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3)
* * * * [misc]progress:  [ 22 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 23 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (- (- (exp (/ (- PI) (/ 4 f)))) (exp (* (/ PI 4) f)))
* [exit]simplify:  Simplified to (- (- (exp (/ (- PI) (/ 4 f)))) (exp (* (/ PI 4) f)))
* [enter]simplify:  Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (- (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))
* [exit]simplify:  Simplified to (- (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))
* * * * [misc]progress:  [ 24 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- 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)))))))
* [exit]simplify:  Simplified to (* (/ (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))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))
* [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))) (exp (/ (- PI) (/ 4 f))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (* (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))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 27 / 158 ] simplifiying candidate #<alt-delta (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))))))
* [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))))))
* [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))))))
* [exit]simplify:  Simplified to (/ (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (* (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))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 29 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))
* [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))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (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-delta (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)))))
* [exit]simplify:  Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 32 / 158 ] simplifiying candidate #<alt-delta (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)))))
* [exit]simplify:  Simplified to (/ (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))))))
* [exit]simplify:  Simplified to (/ (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-delta (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)))))
* [exit]simplify:  Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 34 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 35 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 36 / 158 ] simplifiying candidate #<alt-delta (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
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 37 / 158 ] simplifiying candidate #<alt-delta (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) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f))))))
* [exit]simplify:  Simplified to (/ 1 (+ (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 (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 38 / 158 ] simplifiying candidate #<alt-delta (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
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 39 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 40 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 41 / 158 ] simplifiying candidate #<alt-delta (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
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 42 / 158 ] simplifiying candidate #<alt-delta (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) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f))))))
* [exit]simplify:  Simplified to (/ 1 (+ (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 (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 43 / 158 ] simplifiying candidate #<alt-delta (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
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 44 / 158 ] simplifiying candidate #<alt-delta (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-delta (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 (/ 1 (- (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 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))
* [exit]simplify:  Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))
* * * * [misc]progress:  [ 46 / 158 ] simplifiying candidate #<alt-delta (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 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 47 / 158 ] simplifiying candidate #<alt-delta (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 (/ (+ (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 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* [exit]simplify:  Simplified to (/ (+ (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)))))))
* [exit]simplify:  Simplified to (/ (+ (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:  [ 48 / 158 ] simplifiying candidate #<alt-delta (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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 49 / 158 ] simplifiying candidate #<alt-delta (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)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))
* [exit]simplify:  Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))
* * * * [misc]progress:  [ 50 / 158 ] simplifiying candidate #<alt-delta (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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f))))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f))))))
* * * * [misc]progress:  [ 51 / 158 ] simplifiying candidate #<alt-delta (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)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))
* [exit]simplify:  Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))
* * * * [misc]progress:  [ 52 / 158 ] simplifiying candidate #<alt-delta (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 (/ (- (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 (29 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [exit]simplify:  Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* * * * [misc]progress:  [ 53 / 158 ] simplifiying candidate #<alt-delta (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 (/ (- (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 (29 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* [exit]simplify:  Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))
* * * * [misc]progress:  [ 54 / 158 ] simplifiying candidate #<alt-delta (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 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 55 / 158 ] simplifiying candidate #<alt-delta (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 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 56 / 158 ] simplifiying candidate #<alt-delta (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)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))
* [exit]simplify:  Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))
* * * * [misc]progress:  [ 57 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (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 (33 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (306 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))))
* [exit]simplify:  Simplified to (/ 1 (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))))
* * * * [misc]progress:  [ 58 / 158 ] simplifiying candidate #<alt-delta (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 (* (- (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 (49 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (+ (* (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (* (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))))) (* (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (* (+ f f) (/ PI 4))) 1)))
* [exit]simplify:  Simplified to (+ (* (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (* (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))))) (* (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (* (+ f f) (/ PI 4))) 1)))
* * * * [misc]progress:  [ 59 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (* (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (* (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 60 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 61 / 158 ] simplifiying candidate #<alt-delta (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-delta (λ (f) (- (exp (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4)))
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4)))
* * * * [misc]progress:  [ 63 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4)))
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4)))
* * * * [misc]progress:  [ 64 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (log (* (/ 1 (/ PI 4)) (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 (/ (+ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* [exit]simplify:  Simplified to (log (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))
* [exit]simplify:  Simplified to (log (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)))
* * * * [misc]progress:  [ 65 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (log (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (* (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI))
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI))
* * * * [misc]progress:  [ 66 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (380 enodes)
* [exit]simplify:  Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4)))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))))
* [exit]simplify:  Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4)))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))))
* * * * [misc]progress:  [ 67 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (* (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]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (400 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))))
* [exit]simplify:  Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))))
* [enter]simplify:  Simplifying (cbrt (* (/ 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* [exit]simplify:  Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* * * * [misc]progress:  [ 68 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 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]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3)
* [exit]simplify:  Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3)
* * * * [misc]progress:  [ 69 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* [enter]simplify:  Simplifying (sqrt (* (/ 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* * * * [misc]progress:  [ 70 / 158 ] simplifiying candidate #<alt-delta (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-delta (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)))))) (cbrt (/ (+ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (406 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))))
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* * * * [misc]progress:  [ 72 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* * * * [misc]progress:  [ 73 / 158 ] simplifiying candidate #<alt-delta (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)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (397 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI)))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (401 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 74 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) (/ (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) (/ (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (401 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 75 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (334 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (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))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* * * * [misc]progress:  [ 76 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) (/ (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (/ PI 4)))
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) (/ (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (/ PI 4)))
* [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 (270 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 77 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (334 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (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))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* * * * [misc]progress:  [ 78 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* [exit]simplify:  Simplified to (/ (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))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (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))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (401 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 79 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (401 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (401 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 80 / 158 ] simplifiying candidate #<alt-delta (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))))) 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* * * * [misc]progress:  [ 81 / 158 ] simplifiying candidate #<alt-delta (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* f (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* f (/ PI 4))))))) (/ PI 4))
* [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 (270 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 82 / 158 ] simplifiying candidate #<alt-delta (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))))) 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* * * * [misc]progress:  [ 83 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (- (+ (/ 4 PI) (/ 4 PI))))
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (- (+ (/ 4 PI) (/ 4 PI))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 84 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (sqrt (- (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 (74 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI))
* [exit]simplify:  Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 85 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 86 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI))
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI))
* [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 (269 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* * * * [misc]progress:  [ 87 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 88 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (- (+ (/ 4 PI) (/ 4 PI))))
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (- (+ (/ 4 PI) (/ 4 PI))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 89 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (sqrt (- (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 (74 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI))
* [exit]simplify:  Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 90 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 91 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI))
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI))
* [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 (269 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))
* * * * [misc]progress:  [ 92 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 93 / 158 ] simplifiying candidate #<alt-delta (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 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (* (log 1) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log 1) (/ 4 PI))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 94 / 158 ] simplifiying candidate #<alt-delta (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 (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))
* [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 (165 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI)))
* * * * [misc]progress:  [ 95 / 158 ] simplifiying candidate #<alt-delta (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)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (444 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))) (+ (pow (exp (/ PI 4)) (+ (+ f f) f)) (/ (- 1) (pow (exp (/ PI 4)) (+ (+ f f) f)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))) (+ (pow (exp (/ PI 4)) (+ (+ f f) f)) (/ (- 1) (pow (exp (/ PI 4)) (+ (+ f f) f)))))) (/ 4 PI))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (log (+ (+ (exp (* (/ PI 4) (+ f f))) 1) (pow (exp (/ PI 4)) (+ (- f) (- f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (+ (+ (exp (* (/ PI 4) (+ f f))) 1) (pow (exp (/ PI 4)) (+ (- f) (- f))))) (/ PI 4))
* * * * [misc]progress:  [ 96 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (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)))) (- (* (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))
* * * * [misc]progress:  [ 97 / 158 ] simplifiying candidate #<alt-delta (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)))))) (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 (17 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (377 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI)))
* [enter]simplify:  Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 98 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))
* * * * [misc]progress:  [ 99 / 158 ] simplifiying candidate #<alt-delta (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)))))) (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))))
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 100 / 158 ] simplifiying candidate #<alt-delta (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))))) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))))
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 101 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI (+ 4 4)))
* [exit]simplify:  Simplified to (/ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI (+ 4 4)))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 102 / 158 ] simplifiying candidate #<alt-delta (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))))) (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))))
* [exit]simplify:  Simplified to (- (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))))
* [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 (144 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* * * * [misc]progress:  [ 103 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI (+ 4 4)))
* [exit]simplify:  Simplified to (/ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI (+ 4 4)))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 104 / 158 ] simplifiying candidate #<alt-delta (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))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (299 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))))
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 105 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 106 / 158 ] simplifiying candidate #<alt-delta (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))))) 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (498 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))))
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 107 / 158 ] simplifiying candidate #<alt-delta (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (/ (* f PI) 4)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (/ (* f PI) 4)))))) (/ 4 PI))
* [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 (144 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* * * * [misc]progress:  [ 108 / 158 ] simplifiying candidate #<alt-delta (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))))) 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (498 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))))
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 109 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (* (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 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (473 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (+ (/ (- 4) PI) (/ (- 4) PI)))
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (+ (/ (- 4) PI) (/ (- 4) PI)))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* * * * [misc]progress:  [ 110 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (sqrt (- (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 (74 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4)))
* [exit]simplify:  Simplified to (/ (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4)))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* * * * [misc]progress:  [ 111 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 112 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (399 enodes)
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))))
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 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 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 113 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 114 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (* (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 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (473 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (+ (/ (- 4) PI) (/ (- 4) PI)))
* [exit]simplify:  Simplified to (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (+ (/ (- 4) PI) (/ (- 4) PI)))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* * * * [misc]progress:  [ 115 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (sqrt (- (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 (74 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (398 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4)))
* [exit]simplify:  Simplified to (/ (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4)))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (451 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))
* * * * [misc]progress:  [ 116 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 117 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (399 enodes)
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))))
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 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 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))
* * * * [misc]progress:  [ 118 / 158 ] simplifiying candidate #<alt-delta (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 (/ 1 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 119 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log 1) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (log 1) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log 1) (/ PI 4))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))
* * * * [misc]progress:  [ 120 / 158 ] simplifiying candidate #<alt-delta (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 (+ (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 (153 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))
* [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 (173 enodes)
* * [misc]simplify:  iters left: 2 (399 enodes)
* [exit]simplify:  Simplified to (/ (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4)))
* [exit]simplify:  Simplified to (/ (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4)))
* * * * [misc]progress:  [ 121 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 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)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (449 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (+ (pow (exp (/ PI 4)) (+ f (+ f f))) (/ (- 1) (pow (exp (/ PI 4)) (+ f (+ f f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (+ (pow (exp (/ PI 4)) (+ f (+ f f))) (/ (- 1) (pow (exp (/ PI 4)) (+ f (+ f f))))))) (/ 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 (422 enodes)
* [exit]simplify:  Simplified to (/ (log (+ (+ (exp (* (+ f f) (/ PI 4))) (pow (exp (/ PI 4)) (+ (- f) (- f)))) 1)) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (+ (+ (exp (* (+ f f) (/ PI 4))) (pow (exp (/ PI 4)) (+ (- f) (- f)))) 1)) (/ PI 4))
* * * * [misc]progress:  [ 122 / 158 ] simplifiying candidate #<alt-delta (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)))) (- (* (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ 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 (153 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))
* * * * [misc]progress:  [ 123 / 158 ] simplifiying candidate #<alt-delta (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 (* (/ 1 (/ PI 4)) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ 4 PI)
* [exit]simplify:  Simplified to (/ 4 PI)
* * * * [misc]progress:  [ 124 / 158 ] simplifiying candidate #<alt-delta (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 (* (/ 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)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) 4) (/ PI (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))))))
* [exit]simplify:  Simplified to (/ (* (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) 4) (/ PI (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))))))))
* * * * [misc]progress:  [ 125 / 158 ] simplifiying candidate #<alt-delta (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 (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4))
* * * * [misc]progress:  [ 126 / 158 ] simplifiying candidate #<alt-delta (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 (* (/ 1 (/ PI 4)) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ 4 PI)
* [exit]simplify:  Simplified to (/ 4 PI)
* * * * [misc]progress:  [ 127 / 158 ] simplifiying candidate #<alt-delta (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))) (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 (60 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* [exit]simplify:  Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* * * * [misc]progress:  [ 128 / 158 ] simplifiying candidate #<alt-delta (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))) (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 (60 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* [exit]simplify:  Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))
* * * * [misc]progress:  [ 129 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 130 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 131 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 PI) (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* 4 (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 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))
* [exit]simplify:  Simplified to (* 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-delta (λ (f) (- (/ (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 133 / 158 ] simplifiying candidate #<alt-delta (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-delta (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-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (exp (log (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (log (/ (* f PI) 4))
* [exit]simplify:  Simplified to (log (/ (* f PI) 4))
* * * * [misc]progress:  [ 136 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (log (exp (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (exp (/ PI (/ 4 f)))
* [exit]simplify:  Simplified to (exp (/ PI (/ 4 f)))
* * * * [misc]progress:  [ 137 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* f PI) 4)) (cbrt (/ (* f PI) 4)))
* [exit]simplify:  Simplified to (* (cbrt (/ (* f PI) 4)) (cbrt (/ (* f PI) 4)))
* [enter]simplify:  Simplifying (cbrt (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ PI 4) f))
* [exit]simplify:  Simplified to (cbrt (* (/ PI 4) f))
* * * * [misc]progress:  [ 138 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* [exit]simplify:  Simplified to (pow (/ (* f PI) 4) 3)
* [exit]simplify:  Simplified to (pow (/ (* f PI) 4) 3)
* * * * [misc]progress:  [ 139 / 158 ] simplifiying candidate #<alt-delta (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)))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ PI 4) f))
* [exit]simplify:  Simplified to (sqrt (* (/ PI 4) f))
* [enter]simplify:  Simplifying (sqrt (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ PI 4) f))
* [exit]simplify:  Simplified to (sqrt (* (/ PI 4) f))
* * * * [misc]progress:  [ 140 / 158 ] simplifiying candidate #<alt-delta (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-delta (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)) f)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ PI 4)) f)
* [exit]simplify:  Simplified to (* (cbrt (/ PI 4)) f)
* * * * [misc]progress:  [ 142 / 158 ] simplifiying candidate #<alt-delta (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)) f)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ PI 4)) f)
* [exit]simplify:  Simplified to (* (sqrt (/ PI 4)) f)
* * * * [misc]progress:  [ 143 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1 (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ PI 4) f)
* * [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 (/ PI (/ 4 f))
* [exit]simplify:  Simplified to (/ PI (/ 4 f))
* * * * [misc]progress:  [ 144 / 158 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* PI (* (/ 1 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 4) f)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (/ f 4)
* [exit]simplify:  Simplified to (/ f 4)
* * * * [misc]progress:  [ 145 / 158 ] simplifiying candidate #<alt-delta (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 (* f PI)
* [exit]simplify:  Simplified to (* f PI)
* * * * [misc]progress:  [ 146 / 158 ] simplifiying candidate #<alt-delta (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-event (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (168 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* f (* 1/2 PI)) (+ (* (* (* PI 1/192) PI) (* (* f f) (* f PI))) (* 1/61440 (* (pow PI 5) (pow f 5))))))))
* * * * [misc]progress:  [ 148 / 158 ] simplifiying candidate #<alt-event (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 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (* (* (/ 4 PI) (- 1)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI))))))
* * * * [misc]progress:  [ 149 / 158 ] simplifiying candidate #<alt-event (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 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (- (/ 4 PI)))
* * * * [misc]progress:  [ 150 / 158 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))))))>
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (415 enodes)
* [exit]simplify:  Simplified to (* (log (- (+ (* (* f 1/12) PI) (/ (/ 4 f) PI)) (* (* (* f 1/2880) f) (* (* PI PI) (* f PI))))) (- (/ 4 PI)))
* * * * [misc]progress:  [ 151 / 158 ] simplifiying candidate #<alt-event (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 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (499 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* 1/4 PI) (- f)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))) (/ (/ PI 4) (- 1)))
* * * * [misc]progress:  [ 152 / 158 ] simplifiying candidate #<alt-event (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 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (495 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (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-event (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))>
* [enter]simplify:  Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (+ (- (* (- f) (* f (* 1/12 PI))) (* (/ 4 PI) (log (/ 4 PI)))) (+ (/ (log f) (/ PI 4)) (* (* (pow f 4) (* 7/5760 PI)) (* PI PI))))
* * * * [misc]progress:  [ 154 / 158 ] simplifiying candidate #<alt-event (λ (f) (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI))))>
* [enter]simplify:  Simplifying (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (- f) (* PI 1/4)))) (+ (pow (exp 1/4) (* PI f)) (/ (- 1) (pow (exp 1/4) (* PI f)))))) (/ (- 4) PI))
* * * * [misc]progress:  [ 155 / 158 ] simplifiying candidate #<alt-event (λ (f) (- (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI))))>
* [enter]simplify:  Simplifying (- (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (247 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]progress:  [ 156 / 158 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))))>
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f)))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- 1/4) (* f PI)))))))
* * * * [misc]progress:  [ 157 / 158 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))))>
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f)))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- 1/4) (* f PI)))))))
* * * * [misc]progress:  [ 158 / 158 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))))>
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f)))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- 1/4) (* f PI)))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 5
* [misc]none:  All alts: 5
* [misc]none:  Fresh alt: (λ (f) (- (+ (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)))))
* [misc]none:  Fresh alt: (λ (f) (- (log (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI)))))
* [misc]none:  Fresh alt: (λ (f) (- (cbrt (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3))))
* [misc]none:  Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))
* [misc]none:  Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (f) (- (+ (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))))): 0
* [misc]none:  (λ (f) (- (log (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI))))): 1
* [misc]none:  (λ (f) (- (cbrt (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3)))): 2
* [misc]none:  (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))): 3
* [misc]none:  (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))): 4
* [misc]none:  Best fresh alt per point
* [misc]none:  (2.1811945854006548e-306): 3
* [misc]none:  (6.744044543218371): 1
* [misc]none:  (6.281351069712371e-40): 3
* [misc]none:  (1.3940476019414208e-243): 3
* [misc]none:  (7.723714893984014e-53): 4
* [misc]none:  (1.6015687094578885e-114): 3
* [misc]none:  (7.162982178700667e-143): 3
* [misc]none:  (2.0456932367196893e-188): 3
* [misc]none:  (4.351554933921603e-249): 3
* [misc]none:  (5.189166453459553e-135): 3
* [misc]none:  (4.823582423963228e-35): 3
* [misc]none:  (3.1328191882752216e-288): 3
* [misc]none:  (1.7619646197506943e-217): 4
* [misc]none:  (0.001153502653320492): 4
* [misc]none:  (9.828142580013114e-63): 3
* [misc]none:  (1.3470733434393441e-14): 3
* [misc]none:  (1.7285940697086523e-215): 4
* [misc]none:  (9.362478858841445e-196): 3
* [misc]none:  (2.4361480422576433e-266): 3
* [misc]none:  (3.783480527344059e-158): 3
* [misc]none:  (4.885415499003671e-269): 3
* [misc]none:  (4.285789409051915e-41): 3
* [misc]none:  (1.6550163405824941e-100): 4
* [misc]none:  (2.5999866956432144e-15): 3
* [misc]none:  (1.1466100384783977e-24): 4
* [misc]none:  (7.731756003446193e-09): 3
* [misc]none:  (2.142503598854727e-40): 3
* [misc]none:  (9.866134064169792e-88): 3
* [misc]none:  (1.5119164597499585e-296): 3
* [misc]none:  (6.736957928891058e-59): 3
* [misc]none:  (6.778069248120988e-280): 3
* [misc]none:  (9.005651289406815e-62): 3
* [misc]none:  (3.931300633875158e-124): 4
* [misc]none:  (7.11105366855096e-210): 3
* [misc]none:  (2.3410825034903317e-60): 3
* [misc]none:  (1.1487791112707728e-172): 4
* [misc]none:  (8.449175444180646e-202): 3
* [misc]none:  (4.231630731957443e-97): 3
* [misc]none:  (0.0006145505508753878): 3
* [misc]none:  (5.770600846660463e-216): 3
* [misc]none:  (2.781426133815738e-217): 3
* [misc]none:  (2.5557241024046246e-63): 3
* [misc]none:  (5.223765227005569e-152): 3
* [misc]none:  (7.351668255412019e-155): 3
* [misc]none:  (3.666021857234008e-105): 3
* [misc]none:  (2.1884482458744437e-81): 3
* [misc]none:  (1.8423314112002953e-90): 3
* [misc]none:  (1.4318039063168714e-09): 3
* [misc]none:  (9.534360742444564e-26): 3
* [misc]none:  (1.2538968992553631e-96): 3
* [misc]none:  (1.2604501780655313e-299): 3
* [misc]none:  (4.652749385182812e-160): 3
* [misc]none:  (1.9017996774234949e-59): 3
* [misc]none:  (1.6994385984079385e-287): 3
* [misc]none:  (1.2465965306617038e-32): 3
* [misc]none:  (8.941083375942494e-36): 3
* [misc]none:  (4.642144231789124e-270): 4
* [misc]none:  (828.8901249590906): 0
* [misc]none:  (2.333964054476269e-230): 4
* [misc]none:  (2.6282948365587408e-27): 3
* [misc]none:  (1.0985453227849344e-170): 3
* [misc]none:  (6.19863515953618e-206): 3
* [misc]none:  (3.1166104193766994e-137): 3
* [misc]none:  (1.2423686537018865e-16): 3
* [misc]none:  (4.559321205979136e-29): 3
* [misc]none:  (8.913124246398817e-290): 4
* [misc]none:  (4.4061588303824944e-303): 3
* [misc]none:  (2.3040347636911724e-27): 3
* [misc]none:  (7.527413299194134e-199): 3
* [misc]none:  (9.80786621090237e-10): 3
* [misc]none:  (4.5779060099920917e-17): 3
* [misc]none:  (8.583739956121865e-308): 3
* [misc]none:  (4.460218679195514e-149): 3
* [misc]none:  (5.357335632184978e-22): 3
* [misc]none:  (6.103872924194278e-110): 4
* [misc]none:  (2.4991141371272513e-282): 3
* [misc]none:  (5.160642497006506e-106): 4
* [misc]none:  (2.501487961589971e-186): 4
* [misc]none:  (3.1707458428990324e-50): 3
* [misc]none:  (6.309071689177259e-279): 3
* [misc]none:  (3.321782785676469e-255): 3
* [misc]none:  (1.5087150874010425e-211): 3
* [misc]none:  (6.863804525144902e-237): 3
* [misc]none:  (3.676700438802301e-44): 4
* [misc]none:  (6.180426682633145e-231): 3
* [misc]none:  (1.0083640164314813e-92): 3
* [misc]none:  (2.2629994924347574e-07): 3
* [misc]none:  (3.6950126077692746e-159): 3
* [misc]none:  (4.6359994596022095e-153): 3
* [misc]none:  (8.584176116472669): 0
* [misc]none:  (3.802591719422796e-187): 3
* [misc]none:  (1.1606607614301422e-05): 3
* [misc]none:  (3.292067705150785e-57): 3
* [misc]none:  (8.06210226572923e-308): 4
* [misc]none:  (2.0724540688985427e-14): 3
* [misc]none:  (6.537529222720653e-92): 4
* [misc]none:  (3.5709688782890513e-43): 3
* [misc]none:  (4.870593988390179e-194): 3
* [misc]none:  (5.027897585816787e-27): 3
* [misc]none:  (0.3310558223342685): 2
* [misc]none:  (7.299372666988037e-80): 3
* [misc]none:  (1.178943808525994e-266): 3
* [misc]none:  (1.0483964125162862e-06): 3
* [misc]none:  (8.105463665693362e-194): 3
* [misc]none:  (4.513009124607983e-82): 3
* [misc]none:  (1.5274484190953342e-17): 4
* [misc]none:  (3.0568938748675284e-154): 3
* [misc]none:  (2.0291756699515804e-73): 3
* [misc]none:  (8.435011553475053e-247): 3
* [misc]none:  (2.4920454965720488e-241): 4
* [misc]none:  (8.63476246502244e-94): 3
* [misc]none:  (1.1480211985789131e-156): 4
* [misc]none:  (4.091190676322657e-21): 4
* [misc]none:  (1.1663715170234023e-33): 4
* [misc]none:  (1.821316082219445e-31): 4
* [misc]none:  (5.965572216773997e-266): 4
* [misc]none:  (1.1867578517998852e-122): 4
* [misc]none:  (4.388887965185748e-231): 4
* [misc]none:  (12041477.739790332): 3
* [misc]none:  (2.8402608015100704e-250): 3
* [misc]none:  (5.258242405229196e-247): 3
* [misc]none:  (2.5076686139270383e-164): 4
* [misc]none:  (1.0389358047373285e-37): 3
* [misc]none:  (1.3687590050193055e-147): 3
* [misc]none:  (1.6542751192792692e-300): 3
* [misc]none:  (2.602023429993787e-14): 3
* [misc]none:  (2.415026600632841e-155): 4
* [misc]none:  (6.08182357871597e-19): 3
* [misc]none:  (3.919727770092923e-28): 3
* [misc]none:  (1.0684729481870001e-64): 3
* [misc]none:  (3.1520683467019444e-71): 3
* [misc]none:  (0.19659739803111875): 1
* [misc]none:  (2.4995037253728046e-268): 3
* [misc]none:  (4.637177905335891e-10): 3
* [misc]none:  (8.652041834233969e-101): 3
* [misc]none:  (3.7907433031673317e-256): 3
* [misc]none:  (8.76720870691781e-247): 3
* [misc]none:  (3.0044088767799776e-30): 3
* [misc]none:  (6.476730028728146e-228): 3
* [misc]none:  (4.097601147132013e-78): 3
* [misc]none:  (3.3390334975960143e-07): 3
* [misc]none:  (2.2475155879831534e-92): 3
* [misc]none:  (1.030614327019319e-115): 3
* [misc]none:  (3.6636765762957594e-187): 3
* [misc]none:  (1.3872947227834175e-251): 3
* [misc]none:  (7.12145855246931e-10): 3
* [misc]none:  (2.693461062117409e-112): 3
* [misc]none:  (2.43524332605807e-278): 4
* [misc]none:  (1.0576788912710565e-08): 3
* [misc]none:  (4.764080499693186e-90): 4
* [misc]none:  (2.884705125857619e-274): 3
* [misc]none:  (2.031068672850261e-255): 3
* [misc]none:  (4.642568065399805e-260): 3
* [misc]none:  (7.178809205583962e-175): 3
* [misc]none:  (1.4235559851356953e-239): 3
* [misc]none:  (4.74667737826054e-29): 4
* [misc]none:  (2.1335024129380783e-97): 4
* [misc]none:  (1.0233799517176219e-267): 3
* [misc]none:  (5.348181441205713e-277): 4
* [misc]none:  (2.6631876145177815e-299): 3
* [misc]none:  (1.4781375733319608e-242): 3
* [misc]none:  (1.6609596531041104e-183): 3
* [misc]none:  (5.41731325733976e-115): 3
* [misc]none:  (1.0395093493101161e-28): 3
* [misc]none:  (5.540829799846932e-307): 3
* [misc]none:  (8.949756960721031e-195): 3
* [misc]none:  (1.0160216232612932e-143): 3
* [misc]none:  (4.178563936936926e-127): 3
* [misc]none:  (6.629963208070179e-180): 3
* [misc]none:  (1.7005338626981419e-143): 3
* [misc]none:  (7.808994559121766e-111): 3
* [misc]none:  (8.788013174305029e-230): 3
* [misc]none:  (3.2454192740264175e-113): 4
* [misc]none:  (4.896551008070313e-307): 3
* [misc]none:  (6.351701463874224e-34): 3
* [misc]none:  (1.1127979592570306e-297): 3
* [misc]none:  (2.0134175477923286e-117): 3
* [misc]none:  (2.1370924660732585e-137): 3
* [misc]none:  (4.172324580820008e-133): 3
* [misc]none:  (1.6563474243613627e-33): 3
* [misc]none:  (2.0971939106770033e-216): 3
* [misc]none:  (1.504878381563487e-123): 3
* [misc]none:  (9.568527921939742e-273): 4
* [misc]none:  (1.7090726067739176e-227): 3
* [misc]none:  (7.696162327562603e-152): 3
* [misc]none:  (5.106850318067203e-223): 3
* [misc]none:  (1.3381086996667414e-215): 3
* [misc]none:  (1.0224180420716733e-52): 3
* [misc]none:  (9.705038014433044e-175): 4
* [misc]none:  (6.028770352690154e-151): 4
* [misc]none:  (1.6780592368033288e-262): 3
* [misc]none:  (2.973444851318118e-169): 3
* [misc]none:  (1.6828576275377584e-98): 3
* [misc]none:  (4.922686678959719e-213): 3
* [misc]none:  (5.752669291865014e-257): 3
* [misc]none:  (3.0310347416413137e-258): 3
* [misc]none:  (2.4757193927168845e-307): 3
* [misc]none:  (1.457018723838865e-35): 3
* [misc]none:  (9.424239481611678e-294): 4
* [misc]none:  (1.5096638452158614e-71): 3
* [misc]none:  (6.967234360883543e-112): 4
* [misc]none:  (3.1401318723071353e-131): 3
* [misc]none:  (0.228970627026966): 1
* [misc]none:  (2.1321881547753267e-44): 3
* [misc]none:  (1.7739584018359304e-207): 3
* [misc]none:  (6.866799226360426e-109): 4
* [misc]none:  (1.430295312965348e-149): 3
* [misc]none:  (3.0475240801607222e-148): 3
* [misc]none:  (1.4966275592591335e-123): 3
* [misc]none:  (6.384545099874781e-168): 3
* [misc]none:  (4.232269734875141e-205): 3
* [misc]none:  (2.68866513359689e-174): 4
* [misc]none:  (8.96636707501737e-13): 3
* [misc]none:  (1.6082525618587168e-259): 3
* [misc]none:  (2.7230496615379425e-188): 3
* [misc]none:  (7.15832835948139e-179): 4
* [misc]none:  (8.990843056511833e-32): 3
* [misc]none:  (6.754325943853309e-283): 3
* [misc]none:  (6.354961149716869e-97): 3
* [misc]none:  (2.8293820765322485e-296): 3
* [misc]none:  (9.871143682146977e-239): 3
* [misc]none:  (4.007761912625816e-148): 3
* [misc]none:  (1.120554825473697e-298): 3
* [misc]none:  (7.175557259725409e-49): 3
* [misc]none:  (4.4800031186106794e-70): 3
* [misc]none:  (2.5265807746711182e-73): 3
* [misc]none:  (1.4440898226736705e-53): 3
* [misc]none:  (2.3912903471184356e-134): 4
* [misc]none:  (1.534059348183312e-189): 3
* [misc]none:  (4.588817619865515e-83): 3
* [misc]none:  (1.074034252081928e-96): 3
* [misc]none:  (1.6570172448601563e-137): 3
* [misc]none:  (4.0623211606609595e-228): 3
* [misc]none:  (6.730955893129463e-197): 3
* [misc]none:  (6.724679859609688e-169): 3
* [misc]none:  (1.4230714989143866e-75): 4
* [misc]none:  (3.493084834288097e-125): 3
* [misc]none:  (3.2574885636926814e-211): 3
* [misc]none:  (1.3680169753287455e-53): 3
* [misc]none:  (2.2957389429922706e-176): 3
* [misc]none:  (1.9963004369674967e-80): 3
* [misc]none:  (1.5216315041338872e-218): 3
* [misc]none:  (1.6707151526371295e-190): 3
* [misc]none:  (5.1990169359560766e-256): 3
* [misc]none:  (8.044445972631143e-28): 4
* [misc]none:  (4.12100928340286e-184): 3
* [misc]none:  (8.361834195928021e-55): 3
* [misc]none:  (7.311006071291519e-101): 3
* [misc]none:  (8.382633428275648e-297): 3
* [misc]none:  (6.099737398723264e-279): 3
* [misc]none:  (2.6679523035634032e-104): 4
* [misc]none:  (2.870509274337958e-101): 3
* [misc]none:  (5.0588074473585105e-110): 3
* [misc]none:  (1.4351275309127672e-234): 3
* [misc]none:  (4.416557773834991e-25): 4
* [misc]none:  (3.0442880854679596e-31): 3
* [misc]none:  All alt indices
* [misc]none:  (λ (f) (- (+ (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))))): 0
* [misc]none:  (λ (f) (- (log (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI))))): 1
* [misc]none:  (λ (f) (- (cbrt (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3)))): 2
* [misc]none:  (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))): 3
* [misc]none:  (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))): 4
* [misc]none:  Best alt per point
* [misc]none:  (2.1811945854006548e-306): 3
* [misc]none:  (6.744044543218371): 1
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* [misc]none:  (8.96636707501737e-13): 3
* [misc]none:  (1.6082525618587168e-259): 3
* [misc]none:  (2.7230496615379425e-188): 3
* [misc]none:  (7.15832835948139e-179): 4
* [misc]none:  (8.990843056511833e-32): 3
* [misc]none:  (6.754325943853309e-283): 3
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* [misc]none:  (4.007761912625816e-148): 3
* [misc]none:  (1.120554825473697e-298): 3
* [misc]none:  (7.175557259725409e-49): 3
* [misc]none:  (4.4800031186106794e-70): 3
* [misc]none:  (2.5265807746711182e-73): 3
* [misc]none:  (1.4440898226736705e-53): 3
* [misc]none:  (2.3912903471184356e-134): 4
* [misc]none:  (1.534059348183312e-189): 3
* [misc]none:  (4.588817619865515e-83): 3
* [misc]none:  (1.074034252081928e-96): 3
* [misc]none:  (1.6570172448601563e-137): 3
* [misc]none:  (4.0623211606609595e-228): 3
* [misc]none:  (6.730955893129463e-197): 3
* [misc]none:  (6.724679859609688e-169): 3
* [misc]none:  (1.4230714989143866e-75): 4
* [misc]none:  (3.493084834288097e-125): 3
* [misc]none:  (3.2574885636926814e-211): 3
* [misc]none:  (1.3680169753287455e-53): 3
* [misc]none:  (2.2957389429922706e-176): 3
* [misc]none:  (1.9963004369674967e-80): 3
* [misc]none:  (1.5216315041338872e-218): 3
* [misc]none:  (1.6707151526371295e-190): 3
* [misc]none:  (5.1990169359560766e-256): 3
* [misc]none:  (8.044445972631143e-28): 4
* [misc]none:  (4.12100928340286e-184): 3
* [misc]none:  (8.361834195928021e-55): 3
* [misc]none:  (7.311006071291519e-101): 3
* [misc]none:  (8.382633428275648e-297): 3
* [misc]none:  (6.099737398723264e-279): 3
* [misc]none:  (2.6679523035634032e-104): 4
* [misc]none:  (2.870509274337958e-101): 3
* [misc]none:  (5.0588074473585105e-110): 3
* [misc]none:  (1.4351275309127672e-234): 3
* [misc]none:  (4.416557773834991e-25): 4
* [misc]none:  (3.0442880854679596e-31): 3
* [misc]none:  Picked alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * * * [misc]pick:  Picked  #<alt-event (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1 2 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1 2 2 2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1 2 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1 2 2 2 2 1)
* * * * [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)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) 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)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) 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 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow f 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 PI 5) (pow f 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI f)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI f) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow PI 3) (pow f 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 PI 3) (pow f 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (pow f 3) in f
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* PI 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) 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)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) 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 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow f 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 PI 5) (pow f 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI f)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI f) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow PI 3) (pow f 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 PI 3) (pow f 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (pow f 3) in f
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* PI 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (/ 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 (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
* [misc]backup-simplify:  Simplify (* 1/192 (pow PI 3)) 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 (* 1/192 (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 3) 0) (* 0 1)) 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 (* (pow PI 5) 1) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 (pow PI 5)) 0) 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 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))))))) 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))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))))) 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 (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 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 PI 5) (pow (/ 1 f) 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow PI 3) (pow (/ 1 f) 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 PI 3) (pow (/ 1 f) 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (* PI 1) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) into (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))))))) 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))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))))) 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 (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 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 PI 5) (pow (/ 1 f) 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* PI (/ 1 f))) (* 1/192 (* (pow PI 3) (pow (/ 1 f) 3)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow PI 3) (pow (/ 1 f) 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 PI 3) (pow (/ 1 f) 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (* PI 1) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) into (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)))) into (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f))) into (* 4 (/ (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) PI)) into (* 4 (/ (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow PI 5) (pow f -5)) into (/ (pow PI 5) (pow f 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (* (pow PI 3) (pow f -3)) into (/ (pow PI 3) (pow f 3))
* [misc]backup-simplify:  Simplify (* 1/192 (/ (pow PI 3) (pow f 3))) into (* 1/192 (/ (pow PI 3) (pow f 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/192 (/ (pow PI 3) (pow f 3)))) into (* 1/192 (/ (pow PI 3) (pow f 3)))
* [misc]backup-simplify:  Simplify (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (pow f 3))) (+ (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))) (* 1/15360 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (pow f 5)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (pow f 3))) (+ (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))) (* 1/15360 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (pow f 5)))))))) 1)) (pow (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (pow PI 2) (exp (- (* 1/4 (/ PI f))))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI f))))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)))) into (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -1 (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (pow PI 2) (exp (- (* 1/4 (/ PI f))))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI f))))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (* 0 (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)))) into (- (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/7680 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/7680 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into (- (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 5) 0) (* 0 (pow f -5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 3) 0) (* 0 (pow f -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (/ (pow PI 3) (pow f 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)) (+ (* (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (pow f 3))) (+ (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))) (* 1/15360 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (pow f 5))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI f))))) (pow f 8))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/471859200 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI f))))) (pow f 10))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (- (* 1/4 (/ PI f))))) (pow f 3))) (+ (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))) (* 1/15360 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (pow f 5)))))))) 2)) (pow (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI f))))) (pow f 8))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/471859200 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI f))))) (pow f 10))))))))) 1)) (pow (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI f))))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (- (* 1/4 (/ PI f))))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (- (* 1/4 (/ PI f))))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/1474560 (/ (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/9216 (/ (* (pow PI 4) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/1474560 (/ (* (pow PI 6) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/9216 (/ (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)))) into (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI f))))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (- (* 1/4 (/ PI f))))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (- (* 1/4 (/ PI f))))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/1474560 (/ (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/9216 (/ (* (pow PI 4) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/1474560 (/ (* (pow PI 6) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/9216 (/ (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2))))))))))))))) (+ (* 0 (* -1 (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (pow PI 2) (exp (- (* 1/4 (/ PI f))))) (* (pow f 3) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI f))))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (* 0 (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f))))) into (- (+ (* 1/368640 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI f))))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI f))))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/368640 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI f))))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI f))))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2))))))))))))) into (- (+ (* 1/368640 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI f))))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI f))))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI f))))) (* (pow f 6) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 6) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (- (* 1/4 (/ PI f)))) 2)) (* (pow f 10) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))) (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (* (pow f 8) (pow (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) 2)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1/368640 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 8) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 10) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 6) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 10) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 6) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 8) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) (* (pow (/ 1 f) 6) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) (* (pow (/ 1 f) 10) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2)) (* (pow (/ 1 f) 10) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2)) (* (pow (/ 1 f) 8) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2)) (* (pow (/ 1 f) 6) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2)) (* (pow (/ 1 f) 8) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2)) (* (pow (/ 1 f) 6) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2)) (* (pow (/ 1 f) 10) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2)))) (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) (* (pow (/ 1 f) 8) (pow (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) 2))))))))))))) (pow (/ 1 f) 2)) (+ (* (- (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/24 (/ (* PI (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))))))) (/ 1 f)) (* 4 (/ (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) PI))) (log (/ 1 f))) PI)))) into (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 7/23040 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 7) (pow f 8))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 5) (pow f 6))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 7/23040 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 4))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) PI))) PI)) (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))))))))))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 5) (pow f 6))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 7) (pow f 8))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (* PI f)))) (* PI (pow f 2))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 3) (pow f 4))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/24 (/ (* PI (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (* 1/235929600 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))))))) 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)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))))) 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 (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 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 PI 5) (pow (/ 1 (- f)) 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 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 PI 3) (pow (/ 1 (- f)) 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (* PI -1) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))))))) 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)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))))) 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 (+ (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 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 PI 5) (pow (/ 1 (- f)) 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* PI (/ 1 (- f)))) (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 3)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* 1/192 (* (pow PI 3) (pow (/ 1 (- f)) 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 PI 3) (pow (/ 1 (- f)) 3)) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 3) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (* PI -1) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))) into (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) into (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0
* [misc]backup-simplify:  Simplify (* (pow PI 3) (exp (* 3 (- (log -1) (log f))))) into (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (pow PI 2))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (pow PI 2))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 5) 0) (* 0 (exp (* 5 (- (log -1) (log f)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 3) 0) (* 0 (exp (* 3 (- (log -1) (log f)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 0) (* 0 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f)))))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* -1/4 (/ PI f))) (pow PI 3))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))) 2)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* -1/4 (/ PI f))) (pow PI 3))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* -1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/2 (- (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* -1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))) (+ (* 0 (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (pow PI 2))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))))) into (- (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log 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(/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* -1/4 (/ PI f))) 2) (pow PI 3))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (pow (exp (* 1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* -1/4 (/ PI f))) 2) (pow PI 3))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (pow (exp (* 1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))))))))))))) into (- (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* 1/4 (/ 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f)))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (pow (exp (* 1/4 (/ PI f))) 2)))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (pow (exp (* 1/4 (/ PI f))) 2))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 7) (exp (* 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(* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 7) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 3) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 3) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) PI)) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))))) (/ 1 (- f))) (* 4 (/ (+ (log (/ 1 (- f))) (log (* -2 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) PI)))) PI)))) into (- (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2))) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f))))) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2))) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) PI)) (+ (* 4 (/ (log (/ -1 f)) PI)) (+ (* 1/2304 (/ (* (pow PI 3) (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f))))) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 3 (- (log -1) (log (/ -1 f)))))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f)))))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow (exp (* 1/4 (* PI f))) 2) (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow (exp (* -1/4 (* PI f))) 2)))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f)))))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (pow (exp (* -1/4 (* PI f))) 2))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow (exp (* 1/4 (* PI f))) 2) (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow (exp (* 1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 3 (- (log -1) (log (/ -1 f)))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (pow PI 3) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (pow (exp (* -1/4 (* PI f))) 2))) (* (pow f 2) (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2)))) (+ (* 1/24 (/ (* PI (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/24 (/ (* PI (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* PI f) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* PI f) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI f) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* PI 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 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 (+ (* 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 (+ (* 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 (* PI f) into (* PI f)
* [misc]approximate:  Taking taylor expansion of (* PI (/ 1 f)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* PI 1) into PI
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (* PI (/ 1 (/ 1 f))) into (* PI f)
* [misc]approximate:  Taking taylor expansion of (* PI (/ 1 (- f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* PI -1) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* -1 PI) into (* -1 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 PI) (/ 1 (/ 1 (- f)))) into (* PI f)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (exp (* (log PI) 5)) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (log PI) 5)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (* 5 (log PI))
* [exit]simplify:  Simplified to (* 5 (log PI))
* * * * [misc]progress:  [ 2 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow (pow PI 5) 1) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* * * * [misc]progress:  [ 3 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (exp (log (pow PI 5))) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (log (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (* 5 (log PI))
* [exit]simplify:  Simplified to (* 5 (log PI))
* * * * [misc]progress:  [ 4 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (log (exp (pow PI 5))) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (exp (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (pow PI 5))
* [exit]simplify:  Simplified to (exp (pow PI 5))
* * * * [misc]progress:  [ 5 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (* (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) (cbrt (pow PI 5))) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5)))
* [exit]simplify:  Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5)))
* [enter]simplify:  Simplifying (cbrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (pow PI 5))
* [exit]simplify:  Simplified to (cbrt (pow PI 5))
* * * * [misc]progress:  [ 6 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (cbrt (* (* (pow PI 5) (pow PI 5)) (pow PI 5))) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (pow (pow PI 5) 3)
* [exit]simplify:  Simplified to (pow (pow PI 5) 3)
* * * * [misc]progress:  [ 7 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (* (sqrt (pow PI 5)) (sqrt (pow PI 5))) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (sqrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* [enter]simplify:  Simplifying (sqrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* * * * [misc]progress:  [ 8 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (* 1 (pow PI 5)) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* * * * [misc]progress:  [ 9 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (exp (* (log PI) 3)) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (log PI) 3)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (* 3 (log PI))
* [exit]simplify:  Simplified to (* 3 (log PI))
* * * * [misc]progress:  [ 10 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (* (* PI PI) PI) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* PI PI)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* PI PI)
* [exit]simplify:  Simplified to (* PI PI)
* * * * [misc]progress:  [ 11 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow (pow PI 3) 1) (pow f 3))))))))))>
* * * * [misc]progress:  [ 12 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (exp (log (pow PI 3))) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (log (pow PI 3))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* 3 (log PI))
* [exit]simplify:  Simplified to (* 3 (log PI))
* * * * [misc]progress:  [ 13 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (log (exp (pow PI 3))) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (exp (pow PI 3))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (exp (pow PI 3))
* [exit]simplify:  Simplified to (exp (pow PI 3))
* * * * [misc]progress:  [ 14 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (* (* (cbrt (pow PI 3)) (cbrt (pow PI 3))) (cbrt (pow PI 3))) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow PI 3)) (cbrt (pow PI 3)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* PI PI)
* [exit]simplify:  Simplified to (* PI PI)
* [enter]simplify:  Simplifying (cbrt (pow PI 3))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to PI
* [exit]simplify:  Simplified to PI
* * * * [misc]progress:  [ 15 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (cbrt (* (* (pow PI 3) (pow PI 3)) (pow PI 3))) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (* (pow PI 3) (pow PI 3)) (pow PI 3))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (pow (pow PI 3) 3)
* [exit]simplify:  Simplified to (pow (pow PI 3) 3)
* * * * [misc]progress:  [ 16 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (* PI (* PI PI)) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* PI PI)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* PI PI)
* [exit]simplify:  Simplified to (* PI PI)
* * * * [misc]progress:  [ 17 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (* (sqrt (pow PI 3)) (sqrt (pow PI 3))) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (sqrt (pow PI 3))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI 3))
* [exit]simplify:  Simplified to (sqrt (pow PI 3))
* [enter]simplify:  Simplifying (sqrt (pow PI 3))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI 3))
* [exit]simplify:  Simplified to (sqrt (pow PI 3))
* * * * [misc]progress:  [ 18 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (* 1 (pow PI 3)) (pow f 3))))))))))>
* * * * [misc]progress:  [ 19 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) 1)))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [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 (298 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* * * * [misc]progress:  [ 20 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (pow (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) 1)))>
* * * * [misc]progress:  [ 21 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (244 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* 1/2 (* f PI)))))) (log (/ PI 4)))
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (+ (+ (* (* (* 1/192 PI) f) (* (* f PI) (* f PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* 1/2 (* f PI)))))) (log (/ PI 4)))
* * * * [misc]progress:  [ 22 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (286 enodes)
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f 1/192) PI) (* (* PI PI) (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (log (/ PI 4)))
* [exit]simplify:  Simplified to (- (log (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f 1/192) PI) (* (* PI PI) (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (log (/ PI 4)))
* * * * [misc]progress:  [ 23 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* * [misc]simplify:  iters left: 3 (336 enodes)
* [exit]simplify:  Simplified to (log (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* (* (* PI 1/192) f) (* (* f f) (* PI PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* PI (* f 1/2)))))) (/ PI 4)))
* [exit]simplify:  Simplified to (log (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* (* (* PI 1/192) f) (* (* f f) (* PI PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* PI (* f 1/2)))))) (/ PI 4)))
* * * * [misc]progress:  [ 24 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (log (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (155 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* (* PI 1/192) (* f f)) (* (* f PI) PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* 1/2 (* f PI)))) (/ 4 PI))
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* (* PI 1/192) (* f f)) (* (* f PI) PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* 1/2 (* f PI)))) (/ 4 PI))
* * * * [misc]progress:  [ 25 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (* (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (* (pow (/ 4 PI) 3) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5))))))))
* [exit]simplify:  Simplified to (* (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (* (pow (/ 4 PI) 3) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5))))))))
* * * * [misc]progress:  [ 26 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * [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 (298 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* 1/2 (* f PI)) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* 1/2 (* f PI)) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))
* [exit]simplify:  Simplified to (* (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* 1/2 (* f PI)) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (+ (* 1/2 (* f PI)) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))
* [enter]simplify:  Simplifying (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2))))) (/ PI 4)))
* [exit]simplify:  Simplified to (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2))))) (/ PI 4)))
* * * * [misc]progress:  [ 27 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (cbrt (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (195 enodes)
* [exit]simplify:  Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* f 1/2) PI) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4)) 3)
* [exit]simplify:  Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* f 1/2) PI) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4)) 3)
* * * * [misc]progress:  [ 28 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2))))) (/ PI 4)))
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2))))) (/ PI 4)))
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2))))) (/ PI 4)))
* [exit]simplify:  Simplified to (sqrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2))))) (/ PI 4)))
* * * * [misc]progress:  [ 29 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (* 1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* * * * [misc]progress:  [ 30 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))) (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI)))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (266 enodes)
* * [misc]simplify:  iters left: 2 (458 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* * * * [misc]progress:  [ 31 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (266 enodes)
* * [misc]simplify:  iters left: 2 (458 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (266 enodes)
* * [misc]simplify:  iters left: 2 (458 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* * * * [misc]progress:  [ 32 / 96 ] simplifiying candidate #<alt-delta (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 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [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)))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (174 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (+ (* (* 1/2 f) PI) (* (* (* f PI) (* f f)) (* (* PI PI) 1/192))) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (+ (/ 4 PI) (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (+ (* (* 1/2 f) PI) (* (* (* f PI) (* f f)) (* (* PI PI) 1/192))) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (+ (/ 4 PI) (/ 4 PI)))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (299 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (cbrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (cbrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* * * * [misc]progress:  [ 33 / 96 ] simplifiying candidate #<alt-delta (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 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [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)))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* * [misc]simplify:  iters left: 3 (320 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (* (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* f f) (* 1/192 PI)) (* (* PI PI) f))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (* (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* f f) (* 1/192 PI)) (* (* PI PI) f))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (299 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (sqrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (sqrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* * * * [misc]progress:  [ 34 / 96 ] simplifiying candidate #<alt-delta (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))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* [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)))))) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (334 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))
* [exit]simplify:  Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (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))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) (/ PI 4))
* * * * [misc]progress:  [ 35 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (* (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f f) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f f) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (* (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f f) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f f) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (299 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (cbrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (cbrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* * * * [misc]progress:  [ 36 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (299 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (sqrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (sqrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (299 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (sqrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (sqrt (+ (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (* (* 1/2 f) PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI 4))
* * * * [misc]progress:  [ 37 / 96 ] simplifiying candidate #<alt-delta (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))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (+ (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) (/ PI 4))
* * * * [misc]progress:  [ 38 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (+ (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))))
* [exit]simplify:  Simplified to (+ (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* * * * [misc]progress:  [ 39 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (* (log (sqrt (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (* f 1/192) (* PI PI)) (* (* PI f) f)) (* (* PI f) 1/2))))) (- (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (sqrt (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (* f 1/192) (* PI PI)) (* (* PI f) f)) (* (* PI f) 1/2))))) (- (/ 4 PI)))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* * * * [misc]progress:  [ 40 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [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 (298 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* * * * [misc]progress:  [ 41 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (+ (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))))
* [exit]simplify:  Simplified to (+ (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI 1/192) (* f f)) (* (* PI f) PI)) (* (* 1/2 PI) f)))))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (cbrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* * * * [misc]progress:  [ 42 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (* (log (sqrt (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (* f 1/192) (* PI PI)) (* (* PI f) f)) (* (* PI f) 1/2))))) (- (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (sqrt (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (* f 1/192) (* PI PI)) (* (* PI f) f)) (* (* PI f) 1/2))))) (- (/ 4 PI)))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [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 (297 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (sqrt (+ (+ (* (* (* f f) (* f PI)) (* PI (* PI 1/192))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* * * * [misc]progress:  [ 43 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [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 (298 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* * * * [misc]progress:  [ 44 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (* (log 1) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log 1) (/ 4 PI))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [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 (298 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f 1/192) (* PI PI)) (* (* f PI) f))))) (/ PI 4))
* * * * [misc]progress:  [ 45 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (295 enodes)
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* (* PI f) 1/2)))))
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* (* PI f) 1/2)))))
* * * * [misc]progress:  [ 46 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 3) (pow (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) 3))))) (* (/ 1 (/ PI 4)) (log (+ (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (- (* (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 3) (pow (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (205 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (pow (+ (* f (* 1/2 PI)) (* (* 1/192 (* PI PI)) (* (* f f) (* f PI)))) 3) (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 3)))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (pow (+ (* f (* 1/2 PI)) (* (* 1/192 (* PI PI)) (* (* f f) (* f PI)))) 3) (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 3)))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (- (* (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (313 enodes)
* [exit]simplify:  Simplified to (* (log (+ (* (* (* (pow f 5) (pow PI 5)) 1/61440) (* (* (pow f 5) (pow PI 5)) 1/61440)) (* (+ (* 1/2 (* PI f)) (* (* (* PI PI) 1/192) (* (* PI f) (* f f)))) (+ (* (* (* PI PI) 1/192) (* (* PI f) (* f f))) (- (* 1/2 (* PI f)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (+ (* (* (* (pow f 5) (pow PI 5)) 1/61440) (* (* (pow f 5) (pow PI 5)) 1/61440)) (* (+ (* 1/2 (* PI f)) (* (* (* PI PI) 1/192) (* (* PI f) (* f f)))) (+ (* (* (* PI PI) 1/192) (* (* PI f) (* f f))) (- (* 1/2 (* PI f)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (/ 4 PI))
* * * * [misc]progress:  [ 47 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (* (/ 1 (/ PI 4)) (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (245 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* 1/2 PI) f))) (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* 1/2 PI) f)))))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* 1/2 PI) f))) (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* 1/2 PI) f)))))))
* [enter]simplify:  Simplifying (* (/ 1 (/ PI 4)) (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))
* * [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 (286 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (- (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (* f f) 1/192) (* (* PI PI) (* PI f))) (* (* PI f) 1/2)))))
* [exit]simplify:  Simplified to (* (/ 4 PI) (log (- (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (* f f) 1/192) (* (* PI PI) (* PI f))) (* (* PI f) 1/2)))))
* * * * [misc]progress:  [ 48 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (/ 1 (/ PI 4))) (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* 1/2 PI) f)) (* (* PI (* PI 1/192)) (* (* f f) (* f PI))))))) (+ (/ 4 PI) (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* 1/2 PI) f)) (* (* PI (* PI 1/192)) (* (* f f) (* f PI))))))) (+ (/ 4 PI) (/ 4 PI)))
* [enter]simplify:  Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (273 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* PI 1/192)) (* f (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* PI 1/192)) (* f (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) (/ PI 4))
* * * * [misc]progress:  [ 49 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))) (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (273 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* PI 1/192)) (* f (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* PI 1/192)) (* f (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (273 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* PI 1/192)) (* f (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* PI 1/192)) (* f (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) (/ PI 4))
* * * * [misc]progress:  [ 50 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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)))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (174 enodes)
* * [misc]simplify:  iters left: 3 (369 enodes)
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f f) (* 1/192 PI)) (* (* PI PI) f)))))) (+ (/ 4 PI) (/ 4 PI)))
* [exit]simplify:  Simplified to (* (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))) (* (* (* f f) (* 1/192 PI)) (* (* PI PI) f)))))) (+ (/ 4 PI) (/ 4 PI)))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* * * * [misc]progress:  [ 51 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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)))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (* (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* 1/192 f) PI) (* (* PI PI) (* f f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (* (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* 1/192 f) PI) (* (* PI PI) (* f f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* * * * [misc]progress:  [ 52 / 96 ] simplifiying candidate #<alt-delta (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))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (/ 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)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI (+ 4 4)))
* [exit]simplify:  Simplified to (/ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI (+ 4 4)))
* [enter]simplify:  Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (+ (+ (* (* PI (* PI 1/192)) (* (* f PI) (* f f))) (* 1/2 (* f PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (+ (+ (* (* PI (* PI 1/192)) (* (* f PI) (* f f))) (* 1/2 (* f PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ PI 4))
* * * * [misc]progress:  [ 53 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (318 enodes)
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f f))) (* PI (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f f))) (* PI (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ 4 PI))
* [exit]simplify:  Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f f))) (* PI (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (+ (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f f))) (* PI (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ 4 PI))
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* * * * [misc]progress:  [ 54 / 96 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (/ 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 (309 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* [exit]simplify:  Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (+ (* (* (* f PI) (* f f)) (* (* PI PI) 1/192)) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))
* * * * [misc]progress:  [ 55 / 96 ] simplifiying candidate #<alt-delta (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))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (498 enodes)