* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [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]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/61440 (* (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) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) into (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (216 enodes) * * [misc]simplify: iters left: 1 (371 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 (184 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (+ 1 (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) * [exit]simplify: Simplified to (+ 1 (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) * * * * [misc]progress: [ 9 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 182 ] simplifiying candidate # * [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 (217 enodes) * * [misc]simplify: iters left: 1 (307 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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (46 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 50 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (46 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 52 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (219 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * * * * [misc]progress: [ 57 / 182 ] simplifiying candidate # * [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 (220 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 58 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 61 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (326 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 / 182 ] simplifiying candidate # * [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 (299 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ 4 PI)) * * * * [misc]progress: [ 66 / 182 ] simplifiying candidate # * [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 (382 enodes) * [exit]simplify: Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (/ (/ PI 4) (* (/ 4 PI) (/ 4 PI)))) (* (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) (* (/ 4 PI) (/ 4 PI)))) (* (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 / 182 ] simplifiying candidate # * [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 (239 enodes) * * [misc]simplify: iters left: 1 (383 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 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))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 68 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 70 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 182 ] simplifiying candidate # * [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 (248 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (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))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 72 / 182 ] simplifiying candidate # * [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 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (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)))) (- (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 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 73 / 182 ] simplifiying candidate # * [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 (370 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (+ (/ 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 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 / 182 ] simplifiying candidate # * [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 (298 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 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 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (* (log (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))))) (+ (/ 4 PI) (/ 4 PI))) * [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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 76 / 182 ] simplifiying candidate # * [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 (283 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 (252 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 77 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (* (log (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))))) (+ (/ 4 PI) (/ 4 PI))) * [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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 78 / 182 ] simplifiying candidate # * [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 (271 enodes) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 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 / 182 ] simplifiying candidate # * [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 (237 enodes) * * [misc]simplify: iters left: 1 (385 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 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 / 182 ] simplifiying candidate # * [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 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) (/ 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 81 / 182 ] simplifiying candidate # * [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 (233 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [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 (252 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 82 / 182 ] simplifiying candidate # * [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 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) (/ 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 83 / 182 ] simplifiying candidate # * [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 (466 enodes) * [exit]simplify: Simplified to (* (log (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)))))) (+ (/ (- 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 84 / 182 ] simplifiying candidate # * [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 (367 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 85 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 86 / 182 ] simplifiying candidate # * [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 (339 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (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 (251 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 87 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 88 / 182 ] simplifiying candidate # * [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 (466 enodes) * [exit]simplify: Simplified to (* (log (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)))))) (+ (/ (- 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 89 / 182 ] simplifiying candidate # * [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 (367 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 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 90 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 91 / 182 ] simplifiying candidate # * [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 (339 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (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 (251 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 92 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 93 / 182 ] simplifiying candidate # * [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 (76 enodes) * * [misc]simplify: iters left: 1 (95 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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 94 / 182 ] simplifiying candidate # * [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 (118 enodes) * * [misc]simplify: iters left: 1 (144 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 (/ 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 (372 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * * * * [misc]progress: [ 95 / 182 ] simplifiying candidate # * [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 (420 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) (/ PI 4)) * [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 (256 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ (exp (/ (+ f f) (/ 4 PI))) 1))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ (exp (/ (+ f f) (/ 4 PI))) 1))) (/ PI 4)) * * * * [misc]progress: [ 96 / 182 ] simplifiying candidate # * [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) * * [misc]simplify: iters left: 2 (446 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 (118 enodes) * * [misc]simplify: iters left: 1 (144 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)) * * * * [misc]progress: [ 97 / 182 ] simplifiying candidate # * [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 (129 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI (+ 4 4))) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (exp (* f (/ PI 4))) (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 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 98 / 182 ] simplifiying candidate # * [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 (101 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [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 (101 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 99 / 182 ] simplifiying candidate # * [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 (191 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI (+ 4 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI (+ 4 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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 100 / 182 ] simplifiying candidate # * [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 (149 enodes) * * [misc]simplify: iters left: 2 (329 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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 101 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 102 / 182 ] simplifiying candidate # * [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 (147 enodes) * * [misc]simplify: iters left: 2 (325 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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 103 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 104 / 182 ] simplifiying candidate # * [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 (144 enodes) * * [misc]simplify: iters left: 2 (312 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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 105 / 182 ] simplifiying candidate # * [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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ 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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 106 / 182 ] simplifiying candidate # * [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 (64 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (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))))) (- (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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 107 / 182 ] simplifiying candidate # * [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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (472 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)) * [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 (132 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 108 / 182 ] simplifiying candidate # * [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 (64 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (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))))) (- (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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 109 / 182 ] simplifiying candidate # * [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 (176 enodes) * [exit]simplify: Simplified to (* (log (* (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (* (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (- (/ 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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 110 / 182 ] simplifiying candidate # * [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 (167 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 111 / 182 ] simplifiying candidate # * [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 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (477 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 / 182 ] simplifiying candidate # * [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 (165 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (478 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 / 182 ] simplifiying candidate # * [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 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (477 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 / 182 ] simplifiying candidate # * [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 (176 enodes) * [exit]simplify: Simplified to (* (log (* (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (* (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (- (/ 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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 115 / 182 ] simplifiying candidate # * [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 (167 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [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 (130 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 116 / 182 ] simplifiying candidate # * [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 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (477 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 / 182 ] simplifiying candidate # * [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 (165 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (478 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 / 182 ] simplifiying candidate # * [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 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (477 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 / 182 ] simplifiying candidate # * [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 (52 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 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 (129 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (477 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 / 182 ] simplifiying candidate # * [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 (93 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 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 (165 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * * * * [misc]progress: [ 121 / 182 ] simplifiying candidate # * [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 (195 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ f (/ 4 PI))) (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 (/ (+ (exp (/ f (/ 4 PI))) (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 (191 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 (+ (pow (exp (/ PI 4)) (+ (- f) (- f))) (exp (* (+ f f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ 1 (+ (pow (exp (/ PI 4)) (+ (- f) (- f))) (exp (* (+ f f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 122 / 182 ] simplifiying candidate # * [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 (225 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 (93 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 123 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (222 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (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))))))) (/ PI 4))) * [exit]simplify: Simplified to (* (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))))))) (/ PI 4))) * * * * [misc]progress: [ 125 / 182 ] simplifiying candidate # * [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 (129 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 126 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 130 / 182 ] simplifiying candidate # * [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 (251 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 131 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * [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 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (log (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 (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 135 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 136 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (log (/ (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 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 137 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ 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 (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))))))) * [enter]simplify: Simplifying (log (/ (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 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 138 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 139 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 140 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 141 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (exp (* (/ 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 (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))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (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 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 142 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 143 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 144 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 145 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 146 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (log (/ (+ (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 147 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 148 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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: [ 149 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 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)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 150 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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: [ 151 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (log (/ (+ (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 152 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 153 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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: [ 154 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 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)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 155 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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: [ 156 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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: [ 157 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (log (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (- (log (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 158 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) * [enter]simplify: Simplifying (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (log (+ (+ (pow (* (exp f) (exp f)) (- (/ PI 4))) 1) (exp (* (+ f f) (/ PI 4))))) * [exit]simplify: Simplified to (log (+ (+ (pow (* (exp f) (exp f)) (- (/ PI 4))) 1) (exp (* (+ f f) (/ PI 4))))) * * * * [misc]progress: [ 159 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (- (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (- (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 160 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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: [ 161 / 182 ] simplifiying candidate # * [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: [ 162 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 164 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 166 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (90 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: [ 167 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (* (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)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 168 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (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 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) 3) * * * * [misc]progress: [ 169 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 170 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 182 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 172 / 182 ] simplifiying candidate # * [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 (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI))))) (/ (/ PI 4) (- 1))) * * * * [misc]progress: [ 173 / 182 ] simplifiying candidate # * [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: [ 174 / 182 ] simplifiying candidate # * [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: [ 175 / 182 ] simplifiying candidate # * [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) * [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: [ 176 / 182 ] simplifiying candidate # * [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) * [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: [ 177 / 182 ] simplifiying candidate # * [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: [ 178 / 182 ] simplifiying candidate # * [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: [ 179 / 182 ] simplifiying candidate # * [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: [ 180 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (- (* (- 1/48) (* (* f f) (* PI PI))) (- (- (log (/ 4 PI)) (log f)) (* (* 7/23040 (pow f 4)) (pow PI 4)))) (/ 4 PI)) * * * * [misc]progress: [ 181 / 182 ] simplifiying candidate # * [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) * [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: [ 182 / 182 ] simplifiying candidate # * [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) * [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: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [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 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2 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 2) * [misc]approximate: 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) around 0 * [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 (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 (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 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 (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 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 (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 (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 (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) into (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) * [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 (* -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)))))))))))) 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 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 (* 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)))))))))))))) into (* 1/2 (- (+ (* 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)))))))) (+ (* 1/4608 (/ (* (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))))))))))))) (+ (* 1/4608 (/ (* (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)))) (+ (* 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)))) (+ (* 1/737280 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (+ (* 1/9216 (/ (* (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)))) (* 1/471859200 (/ (* (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)))))))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 10) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 6) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 6) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 10) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 8) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 8) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (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 6) (* (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (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 8) (* (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)))))))))))))) (pow (/ 1 f) 2)) (+ (* (* -1 (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/96 (/ (* (pow PI 2) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))))))) (/ 1 f)) (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) PI))) (log (/ 1 f))))) into (- (+ (* 7/92160 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (log (* 2 (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 7/92160 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (pow f 6))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (pow f 8))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (log (/ 1 f))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/1887436800 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 8) (pow f 8))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/9216 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/2949120 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 6) (pow f 6))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2)))))))))))))) * [misc]approximate: 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) around 0 * [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 (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 (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow 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 (+ (* 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))))))))) 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 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 (* 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)))))))))))))) 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))) (+ (* 1/737280 (/ (* (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))) (+ (* 1/1474560 (/ (* (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))) (+ (* 1/9216 (/ (* (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) (* (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) (* (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 (+ (* (* 1/2 (- (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))))))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2) (pow PI 4))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2)))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) (pow PI 2))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))))) (/ 1 (- f))) (+ (log (/ 1 (- f))) (log (* -2 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) PI)))))) into (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (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))))))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (log (/ -1 f)) (* 1/1474560 (/ (* (pow PI 6) (* (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))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/1887436800 (/ (* (pow PI 8) (* (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))))))))))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (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 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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 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(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: simplifying candidates * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * [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 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # * [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))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # * [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)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # * [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))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 PI))))))) (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 PI))))))) (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # * [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)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (+ (* (* PI (* 1/192 f)) (* (* f PI) (* f PI))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (+ (* (* PI (* 1/192 f)) (* (* f PI) (* f PI))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* 1/2 (* f PI))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ 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))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 24 / 117 ] simplifiying candidate # * [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))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [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))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 27 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (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 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (- (log (+ (+ (* (* (* PI f) (* PI f)) (* (* PI 1/192) f)) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * [exit]simplify: Simplified to (- (log (+ (+ (* (* (* PI f) (* PI f)) (* (* PI 1/192) f)) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (pow (+ (* (* 1/2 PI) f) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3)))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (pow (+ (* (* 1/2 PI) f) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3)))) * [enter]simplify: Simplifying (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 (24 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (log (+ (* (- (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (log (+ (* (- (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (30 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (* (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* 1/61440 (pow f 5)) (pow PI 5))) (* (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (* (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* 1/61440 (pow f 5)) (pow PI 5))) (* (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))))))) * [enter]simplify: Simplifying (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 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (* (* 1/192 PI) (* f f)) (* (* PI f) PI))))) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (* (* 1/192 PI) (* f f)) (* (* PI f) PI))))) * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (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 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))))) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))))) * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)))) * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (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 (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 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))))) * [enter]simplify: Simplifying (cbrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (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 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI))))) 3) * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [enter]simplify: Simplifying (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # * [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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ PI 4)) * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # * [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: [ 51 / 117 ] simplifiying candidate # * [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: [ 52 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* (* f PI) (* PI PI)) (* f (* f 1/192))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* PI (* f 1/2)))))) (/ PI 4))) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* (* f PI) (* PI PI)) (* f (* f 1/192))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* PI (* f 1/2)))))) (/ PI 4))) * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # * [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))) (+ (+ (* (* f (* f 1/192)) (* (* f PI) (* 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))) (+ (+ (* (* f (* f 1/192)) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* 1/2 (* f PI)))) (/ 4 PI)) * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) f))) (+ (+ (* 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 (* (/ PI 4) f))) (+ (+ (* 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 (* (/ PI 4) f))) (+ (+ (* 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 (* (/ PI 4) f))) (+ (+ (* 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 (* (/ PI 4) f))) (+ (+ (* 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 (* (/ PI 4) f))) (+ (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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: [ 56 / 117 ] simplifiying candidate # * [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: [ 57 / 117 ] simplifiying candidate # * [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: [ 58 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # * [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 f) (* PI 1/192)) (* (* 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 f) (* PI 1/192)) (* (* 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 (446 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # * [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 (446 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [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 (446 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (+ (* (* 1/2 PI) f) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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: [ 62 / 117 ] simplifiying candidate # * [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 PI) (* f f)) (* PI (* 1/192 PI)))))))) (/ 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 PI) (* f f)) (* PI (* 1/192 PI)))))))) (/ 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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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: [ 63 / 117 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (* (log (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))))) (+ (/ 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 (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: [ 64 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) f)))) (* (cbrt (+ (+ (* (* (* 1/192 PI) (* f f)) (* (* PI PI) f)) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 PI) (* f f)) (* (* PI PI) f)) (* 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)))) (* (cbrt (+ (+ (* (* (* 1/192 PI) (* f f)) (* (* PI PI) f)) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 PI) (* f f)) (* (* PI PI) f)) (* 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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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: [ 65 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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 (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (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: [ 66 / 117 ] simplifiying candidate # * [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 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) (/ 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: [ 67 / 117 ] simplifiying candidate # * [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)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* 1/2 PI) f))))))) * [exit]simplify: Simplified to (+ (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI 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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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: [ 68 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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: [ 69 / 117 ] simplifiying candidate # * [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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ PI 4)) * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # * [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)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* 1/2 PI) f))))))) * [exit]simplify: Simplified to (+ (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* 1/2 PI) f)))))) (* (- (/ 4 PI)) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI 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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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: [ 71 / 117 ] simplifiying candidate # * [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 (* (/ PI 4) (- f))) (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 (* (/ PI 4) (- f))) (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: [ 72 / 117 ] simplifiying candidate # * [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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ PI 4)) * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # * [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 (76 enodes) * * [misc]simplify: iters left: 1 (95 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ PI 4)) * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # * [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 (118 enodes) * * [misc]simplify: iters left: 1 (144 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 (/ 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: [ 75 / 117 ] simplifiying candidate # * [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: [ 76 / 117 ] simplifiying candidate # * [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: [ 77 / 117 ] simplifiying candidate # * [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 (295 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 (267 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # * [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 (267 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * [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 (267 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # * [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 (357 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))) (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))))))) (+ (/ 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))) (* (* (* 1/192 f) (* PI PI)) (* f (* f PI))))))) (+ (/ 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # * [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 (315 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)) (* (* f f) PI)) (* 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)) (* (* f f) PI)) (* 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 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 (74 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (300 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: [ 82 / 117 ] simplifiying candidate # * [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 (307 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f f) PI)) (* PI (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f f) PI)) (* 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 (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f f) PI)) (* PI (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (+ (+ (* (* (* 1/192 f) (* PI PI)) (* (* f f) PI)) (* 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # * [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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (+ (* (* f (* PI 1/192)) (* (* f f) (* PI PI))) (* f (* 1/2 PI))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # * [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 (64 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (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))))) (+ (* 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 (300 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (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 (/ (sqrt (+ (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: [ 85 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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))) * * [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 (307 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (+ (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (+ (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))))) * [enter]simplify: Simplifying (* (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)))))))) (/ 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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))) * * [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 (300 enodes) * [exit]simplify: Simplified to (* (log (sqrt (+ (+ (* (* PI f) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* f (* PI 1/192)) (* (* f f) (* PI PI)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (sqrt (+ (+ (* (* PI f) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* f (* PI 1/192)) (* (* f f) (* PI PI)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (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)))))))) (/ 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # * [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)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* f PI) 1/2) (* (* (* f f) (* PI 1/192)) (* f (* PI PI)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* f PI) 1/2) (* (* (* f f) (* PI 1/192)) (* f (* PI PI)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 4 PI)) * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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))) * * [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 (307 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (+ (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (+ (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))) (log (cbrt (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* (* PI PI) (* PI f)) (* (* f f) 1/192)) (* (* PI f) 1/2))))))) * [enter]simplify: Simplifying (* (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)))))))) (/ 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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))) * * [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 (300 enodes) * [exit]simplify: Simplified to (* (log (sqrt (+ (+ (* (* PI f) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* f (* PI 1/192)) (* (* f f) (* PI PI)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (sqrt (+ (+ (* (* PI f) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* f (* PI 1/192)) (* (* f f) (* PI PI)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (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)))))))) (/ 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 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* PI 1/192) (* f f)) (* f (* PI PI))))))) (/ PI 4)) * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # * [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)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* f PI) 1/2) (* (* (* f f) (* PI 1/192)) (* f (* PI PI)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* f PI) 1/2) (* (* (* f f) (* PI 1/192)) (* f (* PI PI)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 4 PI)) * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # * [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 (52 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 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)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* f PI) 1/2) (* (* (* f f) (* PI 1/192)) (* f (* PI PI)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* f PI) 1/2) (* (* (* f f) (* PI 1/192)) (* f (* PI PI)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 4 PI)) * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # * [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 (93 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (* (log (/ 1 (+ (* 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 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (+ (* (* PI f) 1/2) (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f f))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (+ (* (* PI f) 1/2) (+ (* (* (* PI 1/192) f) (* (* PI PI) (* f f))) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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))) * * [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 (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (pow (+ (* (* 1/2 PI) f) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3)))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (pow (+ (* (* 1/2 PI) f) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3)))) (/ PI 4)) * [enter]simplify: Simplifying (* (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)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (/ (log (+ (* (- (+ (* (* 1/192 (* f f)) (* (* PI PI) (* PI f))) (* (* PI f) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* PI f))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (* (- (+ (* (* 1/192 (* f f)) (* (* PI PI) (* PI f))) (* (* PI f) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* PI f))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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))) * * [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 PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* f 1/2) PI)) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* f 1/2) PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* f 1/2) PI)) (+ (* (* 1/192 (* f f)) (* (* PI PI) (* f PI))) (* (* f 1/2) PI))))))) * [enter]simplify: Simplifying (* (log (- (* 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 (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 (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* (* f (* 1/192 f)) (* (* PI PI) (* PI f))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* (* f (* 1/192 f)) (* (* PI PI) (* PI f))))))) * * * * [misc]progress: [ 95 / 117 ] simplifiying candidate # * [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: [ 96 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (* (cbrt (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 (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 (159 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* f 1/2) PI) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* f 1/2) PI) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ PI 4))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* f 1/2) PI) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (* (* f 1/2) PI) (+ (* (* (* f f) 1/192) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ PI 4))) * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (sqrt (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 (155 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (+ (+ (* (* (* PI 1/192) (* f PI)) (* (* f PI) f)) (* 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))) (+ (+ (* (* (* PI 1/192) (* f PI)) (* (* f PI) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* f 1/2)))))) (/ PI 4)) * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # * [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: [ 99 / 117 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* f (* 1/2 PI))) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* f (* 1/2 PI))) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* f (* 1/2 PI))) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* f (* 1/2 PI))) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # * [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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ PI 4)) * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # * [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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ 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 f) 1/192) (* (* f PI) (* PI PI)))))) (/ PI 4)) * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 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 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))))) 4) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* PI (* f 1/192)) (* (* f PI) (* f PI)))))) 4) * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (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 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (* PI f) (* f 1/192)) (* (* PI f) PI))) (* f (* 1/2 PI))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (* PI f) (* f 1/192)) (* (* PI f) PI))) (* f (* 1/2 PI))))) * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 117 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 107 / 117 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 108 / 117 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 109 / 117 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 110 / 117 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 111 / 117 ] simplifiying candidate # * [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) (/ 4 PI))) (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: [ 112 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (- (* (- 1/48) (* (* f f) (* PI PI))) (- (- (log (/ 4 PI)) (log f)) (* (* 7/23040 (pow f 4)) (pow PI 4)))) (/ 4 PI)) * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (- (+ (* 7/92160 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (log (* 2 (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 7/92160 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (pow f 6))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (pow f 8))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (log (/ 1 f))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/1887436800 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 8) (pow f 8))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/9216 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/2949120 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 6) (pow f 6))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2)))))))))))))))) * * [misc]simplify: iters left: 6 (122 enodes) * * [misc]simplify: iters left: 5 (350 enodes) * [exit]simplify: Simplified to (* (* (/ 1 PI) (- 4)) (- (+ (+ (log (* 2 (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) PI))) (+ (+ (/ (* 7/92160 (* (* (pow f 4) (pow PI 4)) (pow (exp 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (+ (/ (* (* 1/1474560 (* (pow f 6) (pow PI 6))) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (/ (* (* 1/943718400 (pow PI 8)) (* (pow f 8) (pow (exp 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))))) (+ (/ (* (* 1/1474560 (* (pow f 6) (pow PI 6))) (pow (exp 1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (- (/ (* (* 1/943718400 (* (pow PI 8) (pow f 8))) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (log f))))) (- (/ (* (* 7/92160 (* (pow f 4) (pow PI 4))) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (/ (/ (* (* 1/2949120 (* (pow f 6) (pow PI 6))) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))))) (+ (+ (+ (+ (* (/ 1/18432 (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (/ (* (* (pow f 4) (pow PI 4)) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))) (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (exp (* (* f PI) (- 1/4))) (exp (* (* f PI) (- 1/4))))) (* (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))))) (+ (* (/ 1/9216 (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (/ (* (/ (* 1 (pow PI 4)) (pow (exp 1/4) (* f PI))) (* (pow f 4) (pow (exp 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))) (/ (* (* 1/18432 (* (pow f 4) (pow PI 4))) (* (exp (* (* f PI) (- 1/4))) (exp (* (* f PI) (- 1/4))))) (* (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))))) (+ (+ (/ (* (* 1/943718400 (/ (* 1 (pow PI 8)) (pow (exp 1/4) (* f PI)))) (* (pow f 8) (pow (exp 1/4) (* f PI)))) (* (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))) (/ (* (* 1/96 (* (* f f) (* PI PI))) (pow (exp 1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))) (+ (/ (* (* 1/1474560 (/ (* 1 (pow PI 6)) (pow (exp 1/4) (* f PI)))) (* (pow f 6) (pow (exp 1/4) (* f PI)))) (* (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))) (/ (* (* 1/2949120 (* (pow f 6) (pow PI 6))) (* (exp (* (* f PI) (- 1/4))) (exp (* (* f PI) (- 1/4))))) (* (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))))))) (+ (/ (* (* 1/96 (* (* f f) (* PI PI))) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (/ (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))) (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4))))))))) * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (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))))))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (log (/ -1 f)) (* 1/1474560 (/ (* (pow PI 6) (* (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))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/1887436800 (/ (* (pow PI 8) (* (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))))))))))))))))))) * * [misc]simplify: iters left: 6 (157 enodes) * [exit]simplify: Simplified to (* (- (/ 1 (/ PI 4))) (- (- (+ (+ (+ (log (* (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) PI) -2)) (/ (* 1/943718400 (* (* (pow PI 8) (pow (exp 1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (+ (+ (* 1/9216 (/ (pow PI 4) (/ (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (pow (exp -1/4) (* f PI)) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))))) (/ (* 1/9216 (* (* (pow PI 4) (pow (exp 1/4) (* f PI))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* f f) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (+ (* 1/943718400 (/ (pow PI 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(pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* f f))))))))))) * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # * [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: [ 116 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 7/23040 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ 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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]simplify: iters left: 6 (155 enodes) * [exit]simplify: Simplified to (- (- (- (+ (+ (* (/ (* (* (pow PI 7) (pow (exp 1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/235929600) (* (/ (* (* (pow PI 5) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (pow (exp -1/4) (* f PI)) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/368640)) (+ (+ (* (* (/ (pow PI 7) (* f f)) (/ (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (pow (exp -1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/235929600) (* (/ (* (* (pow PI 3) (pow (exp 1/4) (* f PI))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/2304)) (+ (+ (* 4 (/ (log (* -2 (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) PI))) PI)) (/ (* 4 (log (/ -1 f))) PI)) (+ (* (/ (* (* (pow PI 5) (pow (exp 1/4) (* f PI))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/368640) (/ (* 1/2304 (* (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (pow (exp -1/4) (* f PI))) (pow PI 3))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))))) (* 1/2304 (/ (* (* (pow PI 3) (pow (exp 1/4) (* f PI))) (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (pow (exp -1/4) (* f PI)))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))) (+ (+ (/ (* 1/471859200 (* (* (pow PI 7) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (* (/ (* (* (pow PI 5) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) 1/737280)) (+ (+ (* (/ (* (* (pow PI 7) (pow (exp 1/4) (* f PI))) (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (pow (exp -1/4) (* f PI)))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) 1/235929600) (* 1/4608 (/ (pow PI 3) (/ (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f)))))))))) (+ (+ (* 1/4608 (/ (* (* (pow PI 3) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (* 1/737280 (/ (* (* (pow PI 5) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))) (+ (+ (* 1/7680 (/ (* (* (pow (exp -1/4) (* f PI)) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (pow PI 3)) (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (* 1/7680 (/ (* (* (pow PI 3) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (+ (* 1/471859200 (* (/ (pow PI 7) (* f f)) (/ (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (* 1/24 (/ (* (* PI (pow (exp 1/4) (* f PI))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (* (/ (* (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 1/4) (* f PI))) (* (pow (exp -1/4) (* f PI)) (pow (exp 3) (- (log -1) (log (/ -1 f)))))) (pow PI 5)) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) 1/368640) (* 1/24 (/ PI (/ (* f (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp -1/4) (* f PI)) (pow (exp 3) (- (log -1) (log (/ -1 f)))))))))))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 1 2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1 2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: 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) around 0 * [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 (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 (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 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 (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 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 (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 (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 (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) into (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI))) (log f)) * [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 (* -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)))))))))))) 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 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 (* 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)))))))))))))) into (* 1/2 (- (+ (* 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)))))))) (+ (* 1/4608 (/ (* (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))))))))))))) (+ (* 1/4608 (/ (* (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)))) (+ (* 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)))) (+ (* 1/737280 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (+ (* 1/9216 (/ (* (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)))) (* 1/471859200 (/ (* (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)))))))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 10) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 6) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 6) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 10) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 8) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 8) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (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 6) (* (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (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 8) (* (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)))))))))))))) (pow (/ 1 f) 2)) (+ (* (* -1 (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/96 (/ (* (pow PI 2) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))))))))) (/ 1 f)) (+ (log (* 2 (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) PI))) (log (/ 1 f))))) into (- (+ (* 7/92160 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (log (* 2 (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 7/92160 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (pow f 6))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (pow f 8))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (log (/ 1 f))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/1887436800 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 8) (pow f 8))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/9216 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/2949120 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 6) (pow f 6))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2)))))))))))))) * [misc]approximate: 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) around 0 * [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 (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 (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow 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 (+ (* 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))))))))) 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 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 (* 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)))))))))))))) 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))) (+ (* 1/737280 (/ (* (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))) (+ (* 1/1474560 (/ (* (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))) (+ (* 1/9216 (/ (* (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) (* (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) (* (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 (+ (* (* 1/2 (- (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))))))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 4) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2) (pow PI 4))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2))) (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) 2)))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 4) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) (pow PI 2))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))))) (/ 1 (- f))) (+ (log (/ 1 (- f))) (log (* -2 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) PI)))))) into (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (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))))))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (log (/ -1 f)) (* 1/1474560 (/ (* (pow PI 6) (* (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))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/1887436800 (/ (* (pow PI 8) (* (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))))))))))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1) * [misc]approximate: 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) around 0 * [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]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 (/ 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 (+ (* 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 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 (* 1/12 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 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 (- (* 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))))) (+ (* 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 (/ (+ (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]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 (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) into (* 2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow 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 (- (+ (* 1/15360 (/ (* (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))))))) 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 (+ 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 (+ (* 1/471859200 (/ (* (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)))))))) 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 (+ (* (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (pow (/ 1 f) 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 8))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (pow (/ 1 f) 8))) (* 1/471859200 (/ (* (pow PI 7) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (pow (/ 1 f) 10)))))))) (pow (/ 1 f) 3)) (+ (* (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5))) (+ (* 1/48 (/ (* PI (exp (- (* 1/4 (/ PI (/ 1 f)))))) (pow (/ 1 f) 3))) (+ (* 1/48 (/ (* PI (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 3))) (* 1/15360 (/ (* (pow PI 3) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (pow (/ 1 f) 5))))))) (pow (/ 1 f) 2)) (* (* 2 (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) PI)) (/ 1 f)))) into (- (+ (* 1/737280 (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 5) (pow f 5)))) (+ (* 2 (/ (exp (- (* 1/4 (* PI f)))) (* PI f))) (+ (* 2 (/ (exp (* 1/4 (* PI f))) (* PI f))) (+ (* 7/46080 (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 3)))) (+ (* 1/471859200 (* (pow PI 7) (* (pow f 7) (exp (* 1/4 (* PI f)))))) (+ (* 1/737280 (* (pow PI 5) (* (pow f 5) (exp (* 1/4 (* PI f)))))) (+ (* 1/471859200 (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 7) (pow f 7)))) (* 7/46080 (* (pow PI 3) (* (pow f 3) (exp (* 1/4 (* PI f))))))))))))) (+ (* 1/48 (* (exp (- (* 1/4 (* PI f)))) (* PI f))) (* 1/48 (* PI (* f (exp (* 1/4 (* PI f)))))))) * [misc]approximate: 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) around 0 * [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]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 (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow 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 (- (+ (* 1/15360 (* (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)))))))))) 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 (+ 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 (- (+ (* 1/471859200 (* (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)))))))))) into (- (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (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)))) (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 7) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 5) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) (pow PI 3)))) (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))))))) (pow (/ 1 (- f)) 3)) (+ (* (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 3) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 3) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* -1/4 (/ PI (/ 1 (- f))))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* 1/4 (/ PI (/ 1 (- f)))))))))))) (pow (/ 1 (- f)) 2)) (* (* -2 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) PI)) (/ 1 (- f))))) into (- (+ (* 1/4608 (/ (* (pow PI 3) (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f))))) (pow f 3))) (+ (* 2 (/ (exp (* 1/4 (* PI f))) (* PI f))) (+ (* 1/737280 (/ (* (pow PI 5) (* (exp (* 1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 3 (- (log -1) (log (/ -1 f)))))))) (pow f 3))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2))) (pow f 3))) (+ (* 1/4608 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2))) (pow f 3))) (+ (* 1/737280 (/ (* (pow PI 5) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (pow f 3))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f))))) (pow f 3))) (* 2 (/ (exp (* -1/4 (* PI f))) (* PI f)))))))))) (+ (* 1/48 (/ (* PI (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (pow f 2))) (+ (* 1/15360 (/ (* (pow PI 3) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (pow f 2))) (+ (* 1/15360 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (pow f 2))) (* 1/48 (/ (* PI (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (pow f 2))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * [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 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 94 ] simplifiying candidate # * [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))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* f PI)) (* PI (* f 1/192)))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * * * * [misc]progress: [ 20 / 94 ] simplifiying candidate # * [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)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * * * * [misc]progress: [ 21 / 94 ] simplifiying candidate # * [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))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 PI))))))) (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 PI))))))) (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (* (* f (* 1/192 PI)) (* (* f PI) (* f PI))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* 1/2 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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 22 / 94 ] simplifiying candidate # * [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)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (+ (* (* PI (* 1/192 f)) (* (* f PI) (* f PI))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (+ (* (* PI (* 1/192 f)) (* (* f PI) (* f PI))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* 1/2 (* f PI))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 23 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ 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))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 24 / 94 ] simplifiying candidate # * [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))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))) (* 1/2 (* f PI))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 25 / 94 ] simplifiying candidate # * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [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)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* f (* PI 1/192)) (* (* f PI) (* f PI)))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 26 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [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))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (* (* f PI) (* f PI)) (* (* 1/192 f) PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 27 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 28 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 29 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 30 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [exit]simplify: Simplified to (- (- (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) (log (cbrt (+ (+ (* (* (* PI f) f) (* (* PI 1/192) (* PI f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 31 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 32 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 33 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 34 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (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 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (- (log (+ (+ (* (* (* PI f) (* PI f)) (* (* PI 1/192) f)) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * [exit]simplify: Simplified to (- (log (+ (+ (* (* (* PI f) (* PI f)) (* (* PI 1/192) f)) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * * * * [misc]progress: [ 35 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (pow (+ (* (* 1/2 PI) f) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3)))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (+ (pow (+ (* (* 1/2 PI) f) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3)))) * [enter]simplify: Simplifying (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 (24 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (log (+ (* (- (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (log (+ (* (- (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (+ (* (* (* 1/192 PI) PI) (* (* PI f) (* f f))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 36 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (30 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (* (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* 1/61440 (pow f 5)) (pow PI 5))) (* (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (* (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* 1/61440 (pow f 5)) (pow PI 5))) (* (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/2 (* f PI))))))) * [enter]simplify: Simplifying (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 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (* (* 1/192 PI) (* f f)) (* (* PI f) PI))))) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (* (* 1/192 PI) (* f f)) (* (* PI f) PI))))) * * * * [misc]progress: [ 37 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (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 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))))) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))))) * * * * [misc]progress: [ 38 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 39 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 43 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI)) (* (* (* f PI) (* f 1/192)) (* (* f PI) PI)))) * * * * [misc]progress: [ 44 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (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 (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 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))))) * [enter]simplify: Simplifying (cbrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 45 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (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 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/2 f) PI))))) 3) * * * * [misc]progress: [ 46 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [enter]simplify: Simplifying (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* f PI) 1/2)) (* (* (* f PI) (* PI 1/192)) (* f (* f PI))))))) * * * * [misc]progress: [ 47 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (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 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (log (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (- (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (log (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * * * * [misc]progress: [ 50 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* (* f PI) (* f PI)) (* f (* PI 1/192))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 51 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (exp (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (exp (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 52 / 94 ] simplifiying candidate # * [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))))) (* (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 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)))))) (+ (* 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 (97 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (* 1/2 (* f PI)) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (* 1/2 (* f PI)) (+ (* (* 1/192 (* f f)) (* (* f PI) (* PI PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) 3) * * * * [misc]progress: [ 53 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* PI (* f 1/192)) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI))))))) * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 54 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (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)))))) (/ (+ (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))))))) (/ (+ (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 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* (* PI 1/192) (* f f)) (* (* PI PI) f)) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (+ (* (* (* PI 1/192) (* f f)) (* (* PI PI) f)) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))))) 3) * * * * [misc]progress: [ 55 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [enter]simplify: Simplifying (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 56 / 94 ] simplifiying candidate # * [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 (- (+ (* 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 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (- (- (* (* (* f f) (* 1/192 f)) (* (* PI PI) (- PI))) (* (pow PI 5) (* (pow f 5) 1/61440))) (* 1/2 (* PI f))) * [exit]simplify: Simplified to (- (- (* (* (* f f) (* 1/192 f)) (* (* PI PI) (- PI))) (* (pow PI 5) (* (pow f 5) 1/61440))) (* 1/2 (* PI f))) * * * * [misc]progress: [ 57 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* f (* 1/2 PI)) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* f (* 1/2 PI)) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* f (* 1/2 PI)) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (+ (* f (* 1/2 PI)) (* (* (* f PI) (* f PI)) (* 1/192 (* f PI)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (/ (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 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * * * * [misc]progress: [ 58 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (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 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (+ (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))) (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (+ (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))) (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (* PI (* f 1/2)))))) * [enter]simplify: Simplifying (/ (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 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * * * * [misc]progress: [ 59 / 94 ] simplifiying candidate # * [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 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (+ (+ (* (* (* 1/192 f) (* f PI)) (* (* f PI) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (+ (+ (* (* (* 1/192 f) (* f PI)) (* (* f PI) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * * * * [misc]progress: [ 60 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (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 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (* (cbrt (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (* (cbrt (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (+ (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (* PI (* f 1/2))) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (/ (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 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * * * * [misc]progress: [ 61 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (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 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [enter]simplify: Simplifying (/ (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 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* PI (* f 1/2)))))) * * * * [misc]progress: [ 62 / 94 ] simplifiying candidate # * [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 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (+ (+ (* (* (* 1/192 f) (* f PI)) (* (* f PI) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (+ (+ (* (* (* 1/192 f) (* f PI)) (* (* f PI) PI)) (* (* f 1/2) PI)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * * * * [misc]progress: [ 63 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (/ (+ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 64 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (+ (* (* (* PI f) (* PI f)) (* f (* PI 1/192))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (+ (* (* (* PI f) (* PI f)) (* f (* PI 1/192))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * [enter]simplify: Simplifying (/ (+ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 65 / 94 ] simplifiying candidate # * [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)))) (+ (* 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 (125 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (* 1/2 PI) f))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (* 1/2 PI) f))) * * * * [misc]progress: [ 66 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (cbrt (+ (* (* PI f) 1/2) (+ (* (* (* PI f) (* PI f)) (* (* 1/192 f) PI)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (/ (+ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 67 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (+ (* (* (* PI f) (* PI f)) (* f (* PI 1/192))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (+ (* (* (* PI f) (* PI f)) (* f (* PI 1/192))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* PI f) 1/2)))) * [enter]simplify: Simplifying (/ (+ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 68 / 94 ] simplifiying candidate # * [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)))) (+ (* 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 (125 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (* 1/2 PI) f))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* f 1/192) PI) (* (* f PI) (* f PI))) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (* 1/2 PI) f))) * * * * [misc]progress: [ 69 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (* PI f) 1/2) (+ (* (* 1/192 (* PI f)) (* (* PI f) (* PI f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (/ 1 (+ (* (* PI f) 1/2) (+ (* (* 1/192 (* PI f)) (* (* PI f) (* PI f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 71 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))) (* 1/2 (* PI f))) (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))) (* 1/2 (* PI f))) (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 72 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (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 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (/ (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (* (* f (* PI 1/192)) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) (cbrt (+ (* (* f (* PI 1/192)) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (/ (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (* (* f (* PI 1/192)) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) (cbrt (+ (* (* f (* PI 1/192)) (* (* f PI) (* f PI))) (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 73 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (* (* (* f PI) 1/192) (* (* f PI) (* f PI))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))) * * * * [misc]progress: [ 74 / 94 ] simplifiying candidate # * [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 (46 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 75 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (+ (* 1/2 (* PI f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* f (* 1/192 PI)) (* (* PI f) (* PI f))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (+ (* 1/2 (* PI f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* f (* 1/192 PI)) (* (* PI f) (* PI f))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 76 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (+ (* 1/2 (* PI f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* f (* 1/192 PI)) (* (* PI f) (* PI f))))) (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (+ (* 1/2 (* PI f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* f (* 1/192 PI)) (* (* PI f) (* PI f))))) (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 77 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))) (* 1/2 (* PI f))) (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))) (* 1/2 (* PI f))) (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 78 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))) (* 1/2 (* PI f))) (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* PI f)) (* 1/192 (* PI f)))) (* 1/2 (* PI f))) (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 79 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (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 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (pow (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3))) * [exit]simplify: Simplified to (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (pow (+ (* 1/2 (* f PI)) (* (* 1/192 (* f f)) (* (* f PI) (* PI PI)))) 3) (pow (* (* (pow PI 5) (pow f 5)) 1/61440) 3))) * * * * [misc]progress: [ 80 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (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 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (- (* (* (pow PI 5) (* 1/61440 (pow f 5))) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (+ (* (* (* PI 1/192) PI) (* (* f PI) (* f f))) (* PI (* f 1/2))) (+ (* (* (* PI 1/192) PI) (* (* f PI) (* f f))) (* PI (* f 1/2)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (- (* (* (pow PI 5) (* 1/61440 (pow f 5))) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (+ (* (* (* PI 1/192) PI) (* (* f PI) (* f f))) (* PI (* f 1/2))) (+ (* (* (* PI 1/192) PI) (* (* f PI) (* f f))) (* PI (* f 1/2)))))) * * * * [misc]progress: [ 81 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (+ (* 1/2 (* PI f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* 1/192 (* f f)) (* (* PI f) (* PI PI))))) (+ (exp (* (+ f f) (/ PI 4))) (- (pow (exp (/ PI 4)) (- (+ f f))) 1))) * [exit]simplify: Simplified to (* (+ (* 1/2 (* PI f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* 1/192 (* f f)) (* (* PI f) (* PI PI))))) (+ (exp (* (+ f f) (/ PI 4))) (- (pow (exp (/ PI 4)) (- (+ f f))) 1))) * * * * [misc]progress: [ 82 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* 1/2 (* PI f)) (* (* f (* 1/192 PI)) (* (* PI PI) (* f f)))))) * [exit]simplify: Simplified to (* (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* 1/2 (* PI f)) (* (* f (* 1/192 PI)) (* (* PI PI) (* f f)))))) * * * * [misc]progress: [ 83 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* PI PI) (* f PI)) (* 1/192 (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 84 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* PI PI) (* f PI)) (* 1/192 (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 85 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* PI PI) (* f PI)) (* 1/192 (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 86 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* PI PI) (* f PI)) (* 1/192 (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 87 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* PI PI) (* f PI)) (* 1/192 (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 88 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (+ (+ (* (* (* PI PI) (* f PI)) (* 1/192 (* f f))) (* (* f PI) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 89 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* f f) (* PI PI)) 1/48) (- (- (log (/ 4 PI)) (log f)) (* (pow PI 4) (* 7/23040 (pow f 4))))) (/ (- 4) PI)) * * * * [misc]progress: [ 90 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (- (+ (* 7/92160 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (pow f 4))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (log (* 2 (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 7/92160 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (pow f 6))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (pow f 8))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (log (/ 1 f))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/1887436800 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 8) (pow f 8))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/18432 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 4) (pow f 4))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/9216 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/2949120 (/ (* (pow (exp (- (* 1/4 (* PI f)))) 2) (* (pow PI 6) (pow f 6))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (+ (* 1/96 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (+ (* 1/943718400 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 8) (* (pow f 8) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))) (* 1/1474560 (/ (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 6) (* (pow f 6) (exp (* 1/4 (* PI f)))))) (pow (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) 2))))))))))))))))) * * [misc]simplify: iters left: 6 (124 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (* (- (/ 1 (/ PI 4))) (- (+ (+ (+ (/ (* (* 7/92160 (* (pow PI 4) (pow f 4))) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* 1/943718400 (* (* (pow PI 8) (pow f 8)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (+ (+ (- (/ (* (* 1/943718400 (* (pow PI 8) (pow f 8))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (log f)) (+ (/ (* (* (* (pow f 6) (pow PI 6)) (pow (exp 1/4) (* PI f))) 1/1474560) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* 1/1474560 (* (pow f 6) (pow PI 6))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (log (* 2 (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) PI))))) (- (/ (* (* 7/92160 (* (pow PI 4) (pow f 4))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* (* 1/2949120 (* (pow f 6) (pow PI 6))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))) (+ (+ (/ (* (* 1/96 (* (* f f) (* PI PI))) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (+ (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))) (+ (+ (+ (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (/ (* (* 1/9216 (/ (* 1 (pow PI 4)) (pow (exp 1/4) (* PI f)))) (* (pow f 4) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (+ (/ (* (* 1/96 (* PI PI)) (* (* f f) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ (* 1/943718400 (* (* (pow f 8) (pow (exp 1/4) (* PI f))) (/ (* 1 (pow PI 8)) (pow (exp 1/4) (* PI f))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))))) (+ (/ (* (* 1/1474560 (/ (* 1 (pow PI 6)) (pow (exp 1/4) (* PI f)))) (* (pow f 6) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))) (/ (* (* 1/2949120 (* (pow f 6) (pow PI 6))) (* (exp (* (* PI f) (- 1/4))) (exp (* (* PI f) (- 1/4))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4)))))))))))) * * * * [misc]progress: [ 91 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (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))))))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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))))))) (+ (log (/ -1 f)) (* 1/1474560 (/ (* (pow PI 6) (* (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))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (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)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/96 (/ (* (pow PI 2) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (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)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (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)))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* f (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/1887436800 (/ (* (pow PI 8) (* (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)))))))))))))))))))) * * [misc]simplify: iters left: 6 (159 enodes) * [exit]simplify: Simplified to (- (* (* (sqrt (/ 1 (/ PI 4))) (sqrt (/ 1 (/ PI 4)))) (- (- (+ (* (/ (* (* (pow PI 6) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI)))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))) 1/1474560) (+ (+ (log (* -2 (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) PI))) (* 1/943718400 (/ (* (* (pow PI 8) (pow (exp 1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))))) (+ (+ (* 1/9216 (* (/ (pow PI 4) (* f f)) (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (pow (exp -1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (/ (* 1/9216 (* (* (pow PI 4) (pow (exp 1/4) (* f PI))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f)))) (+ (+ (/ (* 1/1474560 (* (* (pow PI 6) (pow (exp 1/4) (* f PI))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))) (log (/ -1 f))) (* 1/943718400 (/ (pow PI 8) (/ (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f)) (* (pow (exp -1/4) (* f PI)) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))))))))) (/ (* 1/2949120 (* (* (pow PI 6) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (+ (+ (/ (* 1/1887436800 (* (* (pow PI 8) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f))) (/ (* 1/30720 (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (pow PI 4))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) f))) (+ (+ (* 1/2949120 (/ (* (* (pow PI 6) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (/ (* 1/943718400 (* (* (pow PI 8) (pow (exp 1/4) (* f PI))) (* (pow (exp -1/4) (* f PI)) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (+ (+ (* (/ (* (* (* PI PI) (pow (exp 1/4) (* f PI))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) f)) 1/96) (* 1/18432 (/ (pow PI 4) (/ (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)) (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) (+ (+ (* (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* PI PI)) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) f)) 1/96) (/ (* 1/18432 (* (* (pow PI 4) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (+ (+ (* (/ (* (pow PI 6) (* (* (pow (exp 1/4) (* f PI)) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f))) 1/1474560) (* 1/9216 (/ (* (* (pow PI 4) (pow (exp 1/4) (* f PI))) (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (pow (exp -1/4) (* f PI)))) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f))))) (+ (* (/ (* (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow PI 8)) (* (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f))) 1/1887436800) (/ (* 1/30720 (* (* (pow PI 4) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) f))))))))))) * * * * [misc]progress: [ 92 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 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 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (log (- (+ (/ 4 (* f PI)) (* (* f 1/12) PI)) (* (* (* f f) (* f PI)) (* PI (* 1/2880 PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 93 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/737280 (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 5) (pow f 5)))) (+ (* 2 (/ (exp (- (* 1/4 (* PI f)))) (* PI f))) (+ (* 2 (/ (exp (* 1/4 (* PI f))) (* PI f))) (+ (* 7/46080 (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 3)))) (+ (* 1/471859200 (* (pow PI 7) (* (pow f 7) (exp (* 1/4 (* PI f)))))) (+ (* 1/737280 (* (pow PI 5) (* (pow f 5) (exp (* 1/4 (* PI f)))))) (+ (* 1/471859200 (* (exp (- (* 1/4 (* PI f)))) (* (pow PI 7) (pow f 7)))) (* 7/46080 (* (pow PI 3) (* (pow f 3) (exp (* 1/4 (* PI f))))))))))))) (+ (* 1/48 (* (exp (- (* 1/4 (* PI f)))) (* PI f))) (* 1/48 (* PI (* f (exp (* 1/4 (* PI f)))))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (- (* (/ 1 PI) 4)) (log (- (+ (+ (+ (/ (/ (* 2 1) (pow (exp 1/4) (* PI f))) (* PI f)) (* (* 1/737280 (* (pow PI 5) (pow f 5))) (exp (* (* PI f) (- 1/4))))) (+ (/ 2 (/ (* PI f) (pow (exp 1/4) (* PI f)))) (* (exp (* (* PI f) (- 1/4))) (* (* (pow f 3) (pow PI 3)) 7/46080)))) (+ (+ (* (* (pow (exp 1/4) (* PI f)) (* (pow PI 5) (pow f 5))) 1/737280) (* (* (pow PI 7) 1/471859200) (* (pow f 7) (pow (exp 1/4) (* PI f))))) (+ (* (exp (* (* PI f) (- 1/4))) (* (* (pow f 7) (pow PI 7)) 1/471859200)) (* (* (* 7/46080 PI) (* PI PI)) (* (pow f 3) (pow (exp 1/4) (* PI f))))))) (* (+ (/ (* (* PI f) 1) (pow (exp 1/4) (* PI f))) (* (pow (exp 1/4) (* PI f)) (* PI f))) 1/48)))) * * * * [misc]progress: [ 94 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (/ PI 4))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/4608 (/ (* (pow PI 3) (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f))))) (pow f 3))) (+ (* 2 (/ (exp (* 1/4 (* PI f))) (* PI f))) (+ (* 1/737280 (/ (* (pow PI 5) (* (exp (* 1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 3 (- (log -1) (log (/ -1 f)))))))) (pow f 3))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2))) (pow f 3))) (+ (* 1/4608 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2))) (pow f 3))) (+ (* 1/737280 (/ (* (pow PI 5) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (pow f 3))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (exp (* -1/4 (* PI f))))) (pow f 3))) (* 2 (/ (exp (* -1/4 (* PI f))) (* PI f)))))))))) (+ (* 1/48 (/ (* PI (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (pow f 2))) (+ (* 1/15360 (/ (* (pow PI 3) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (pow f 2))) (+ (* 1/15360 (/ (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (pow f 2))) (* 1/48 (/ (* PI (* (exp (* 1/4 (* PI f))) (exp (* 3 (- (log -1) (log (/ -1 f))))))) (pow f 2))))))))))) * * [misc]simplify: iters left: 6 (99 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (* (- (/ 1 (/ PI 4))) (log (- (+ (+ (+ (/ (* 1/4608 (pow PI 3)) (/ (/ (pow f 3) (pow (exp -1/4) (* f PI))) (* (pow (exp 3) (+ (- (log -1) (log -1)) (log f))) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))))) (* (/ (pow (exp 1/4) (* f PI)) (* f PI)) 2)) (+ (/ (* (* 1/471859200 (* (pow PI 7) (pow (exp 1/4) (* f PI)))) (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f))))) (pow f 3)) (/ (* 1/737280 (pow PI 5)) (/ (/ (pow f 3) (pow (exp 1/4) (* f PI))) (exp (* (+ (- (log -1) (log -1)) (log f)) (+ 5 3))))))) (+ (+ (/ (* 1/471859200 (pow PI 7)) (/ (/ (pow f 3) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))))) (/ (* 1/737280 (pow PI 5)) (* (/ (/ (* f f) (pow (exp -1/4) (* f PI))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (/ f (pow (exp 3) (+ (- (log -1) (log -1)) (log f))))))) (+ (* (/ (pow (exp -1/4) (* f PI)) (* f PI)) 2) (/ (* (pow PI 3) 1/4608) (/ (/ (pow f 3) (pow (exp 1/4) (* f PI))) (* (pow (exp 3) (+ (- (log -1) (log -1)) (log f))) (pow (exp 3) (+ (- (log -1) (log -1)) (log f))))))))) (+ (+ (/ (* (* 1/48 (* PI (pow (exp 1/4) (* f PI)))) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))) (* f f)) (/ (* (* 1/15360 (* (pow PI 3) (pow (exp 1/4) (* f PI)))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (* f f))) (+ (/ (* (pow PI 3) 1/15360) (/ (/ (* f f) (pow (exp -1/4) (* f PI))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f))))) (/ (* 1/48 PI) (/ (/ (* f f) (pow (exp -1/4) (* f PI))) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 1 1 2 2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 1 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1 1 2 2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 1 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * [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: [ 2 / 46 ] simplifiying candidate # * [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: [ 3 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [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: [ 5 / 46 ] simplifiying candidate # * [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: [ 6 / 46 ] simplifiying candidate # * [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: [ 7 / 46 ] simplifiying candidate # * [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: [ 8 / 46 ] simplifiying candidate # * [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: [ 9 / 46 ] simplifiying candidate # * [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: [ 10 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/192 PI)) * [exit]simplify: Simplified to (log (* 1/192 PI)) * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/192 PI)) * [exit]simplify: Simplified to (exp (* 1/192 PI)) * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI 1/192)) (cbrt (* PI 1/192))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/192 PI)) (cbrt (* 1/192 PI))) * [exit]simplify: Simplified to (* (cbrt (* 1/192 PI)) (cbrt (* 1/192 PI))) * [enter]simplify: Simplifying (cbrt (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/192 PI)) * [exit]simplify: Simplified to (cbrt (* 1/192 PI)) * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI 1/192) (* PI 1/192)) (* PI 1/192)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* 1/192 PI) 3) * [exit]simplify: Simplified to (pow (* 1/192 PI) 3) * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * [enter]simplify: Simplifying (sqrt (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * [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: [ 20 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * [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: [ 22 / 46 ] simplifiying candidate # * [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: [ 23 / 46 ] simplifiying candidate # * [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: [ 24 / 46 ] simplifiying candidate # * [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: [ 25 / 46 ] simplifiying candidate # * [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: [ 26 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * [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: [ 28 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * [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: [ 30 / 46 ] simplifiying candidate # * [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: [ 31 / 46 ] simplifiying candidate # * [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: [ 32 / 46 ] simplifiying candidate # * [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: [ 33 / 46 ] simplifiying candidate # * [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: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* (* f f) (* PI 1/192)) (* (* f PI) PI)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* f PI))))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 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 (57 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))) (- (/ 4 PI))) (* (+ (- (/ 4 PI)) (- (/ 4 PI))) (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* PI (* 1/2 f))))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) +nan.0)) , with alts (#) * [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 (49 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (+ (* 1/192 (* (pow PI 3) (pow f 3))) (* (* f PI) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (+ (* 1/192 (* (pow PI 3) (pow f 3))) (* (* f PI) 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))