* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [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 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [misc]progress: [Phase 2 of 3] Improving. * * [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 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) 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 f))) (exp (* -1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) 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 f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* (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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* (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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) 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 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]approximate: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) 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 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]progress: [ 3 / 4 ] generating series at (2 2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (/ (- f) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) f) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) (/ 1 (/ 1 f))) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 (/ 1 (- f)))) into (* -1/4 (* PI f)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- f) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) f) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) (/ 1 (/ 1 f))) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 (/ 1 (- f)))) into (* -1/4 (* PI f)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* f (/ PI 4)))) (exp (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 2 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 4 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 5 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 6 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (pow (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 3) * [exit]simplify: Simplified to (pow (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 3) * * * * [misc]progress: [ 7 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [enter]simplify: Simplifying (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 8 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (* (/ f 4) (- PI)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (* (/ f 4) (- PI)))) * [enter]simplify: Simplifying (+ (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (* (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (+ (+ (exp (* (+ f f) (/ PI 4))) 1) (pow (exp (- f)) (/ (+ PI PI) 4))) * [exit]simplify: Simplified to (+ (+ (exp (* (+ f f) (/ PI 4))) 1) (pow (exp (- f)) (/ (+ PI PI) 4))) * * * * [misc]progress: [ 9 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (exp (/ (- PI) (/ 4 f)))) * [exit]simplify: Simplified to (- (exp (/ (- PI) (/ 4 f)))) * * * * [misc]progress: [ 10 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (/ (- PI) 4))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (/ (- PI) 4))) * [enter]simplify: Simplifying (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 12 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 13 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) * [exit]simplify: Simplified to (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) * * * * [misc]progress: [ 14 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 16 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 17 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (exp (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (exp (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 18 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) 3) * * * * [misc]progress: [ 19 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 20 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 3) * * * * [misc]progress: [ 21 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 22 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (- (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (- (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 23 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 24 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 25 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 26 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (pow (exp f) (/ PI 4)))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (pow (exp f) (/ PI 4)))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 27 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 28 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 29 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 30 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 31 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 32 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 33 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 34 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 35 / 148 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 36 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 37 / 148 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 38 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 39 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 40 / 148 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 41 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 42 / 148 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 43 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 45 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 46 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 47 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 48 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 49 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 50 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 51 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 52 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 53 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 54 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 55 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 2 1)) (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 2 1)) (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 56 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 57 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (- (+ (pow (exp (/ f 4)) (+ (- PI) (- PI))) (exp (* (/ f 4) (+ PI PI)))) 1) (- (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (* (- (+ (pow (exp (/ f 4)) (+ (- PI) (- PI))) (exp (* (/ f 4) (+ PI PI)))) 1) (- (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 58 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (* (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 59 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f)) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * * * * [misc]progress: [ 61 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * * * * [misc]progress: [ 62 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * * * * [misc]progress: [ 63 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f) (- f)) (- f)) (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * * * * [misc]progress: [ 64 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- f) (/ 4 PI))) (cbrt (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [enter]simplify: Simplifying (cbrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 65 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- f) (/ 4 PI)) (/ (- f) (/ 4 PI))) (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * * * * [misc]progress: [ 66 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 67 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- f)) * * [misc]simplify: iters left: 4 (3 enodes) * [exit]simplify: Simplified to f * [exit]simplify: Simplified to f * [enter]simplify: Simplifying (- (/ 4 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 68 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 69 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 70 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 71 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * * * * [misc]progress: [ 72 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * * * * [misc]progress: [ 73 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 74 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 75 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * * * * [misc]progress: [ 76 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 4) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * * * * [misc]progress: [ 77 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 78 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 79 / 148 ] 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 (/ (- f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * * * * [misc]progress: [ 80 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 4) * [exit]simplify: Simplified to (/ 1 4) * [enter]simplify: Simplifying (/ (- f) (/ 1 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * * * * [misc]progress: [ 81 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ f (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * * * * [misc]progress: [ 82 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ f (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * * * * [misc]progress: [ 83 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 84 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 4) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ -1 4) * [exit]simplify: Simplified to (/ -1 4) * [enter]simplify: Simplifying (/ f (/ 1 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * * * * [misc]progress: [ 85 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 4) * [exit]simplify: Simplified to (/ PI 4) * * * * [misc]progress: [ 87 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 88 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 89 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 90 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 91 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (/ f 1)) * [exit]simplify: Simplified to (- (/ f 1)) * * * * [misc]progress: [ 92 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 93 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (cbrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * * * * [misc]progress: [ 94 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (sqrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * * * * [misc]progress: [ 95 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 96 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 4 (* f PI)) * [exit]simplify: Simplified to (/ 4 (* f PI)) * * * * [misc]progress: [ 97 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 98 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f)) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * * * * [misc]progress: [ 100 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * * * * [misc]progress: [ 101 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * * * * [misc]progress: [ 102 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f) (- f)) (- f)) (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * * * * [misc]progress: [ 103 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- f) (/ 4 PI))) (cbrt (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [enter]simplify: Simplifying (cbrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 104 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- f) (/ 4 PI)) (/ (- f) (/ 4 PI))) (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * * * * [misc]progress: [ 105 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 106 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- f)) * * [misc]simplify: iters left: 4 (3 enodes) * [exit]simplify: Simplified to f * [exit]simplify: Simplified to f * [enter]simplify: Simplifying (- (/ 4 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 107 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 108 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 109 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 110 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * * * * [misc]progress: [ 111 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * * * * [misc]progress: [ 112 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 113 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 114 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * * * * [misc]progress: [ 115 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 4) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * * * * [misc]progress: [ 116 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 117 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 118 / 148 ] 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 (/ (- f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * * * * [misc]progress: [ 119 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 4) * [exit]simplify: Simplified to (/ 1 4) * [enter]simplify: Simplifying (/ (- f) (/ 1 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * * * * [misc]progress: [ 120 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ f (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * * * * [misc]progress: [ 121 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ f (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * * * * [misc]progress: [ 122 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 123 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 4) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ -1 4) * [exit]simplify: Simplified to (/ -1 4) * [enter]simplify: Simplifying (/ f (/ 1 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * * * * [misc]progress: [ 124 / 148 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 4) * [exit]simplify: Simplified to (/ PI 4) * * * * [misc]progress: [ 126 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 127 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 128 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 129 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 130 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (/ f 1)) * [exit]simplify: Simplified to (- (/ f 1)) * * * * [misc]progress: [ 131 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 132 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (cbrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * * * * [misc]progress: [ 133 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (sqrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * * * * [misc]progress: [ 134 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 135 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 4 (* f PI)) * [exit]simplify: Simplified to (/ 4 (* f PI)) * * * * [misc]progress: [ 136 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 137 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 138 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (- (/ 4 PI))) * * * * [misc]progress: [ 139 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (- (/ 4 PI))) * * * * [misc]progress: [ 140 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (log (- (+ (/ (/ 4 f) PI) (* 1/12 (* PI f))) (* (* f f) (* (* 1/2880 f) (pow PI 3))))) (/ PI (- 4))) * * * * [misc]progress: [ 141 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 142 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 143 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* -1/4 (* PI f))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 144 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* -1/4 (* PI f))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 145 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* -1/4 (* PI f))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 146 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))) (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ PI (- 4))) * * * * [misc]progress: [ 147 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))) (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ PI (- 4))) * * * * [misc]progress: [ 148 / 148 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))) (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ PI (- 4))) * * * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (* (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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 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) (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 (- (+ (* 1/48 (/ (* (exp (* -1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 3)) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* -1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 3)) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (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))))))) (+ (* 1/96 (/ (* (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))))))))))) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (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))))))) (+ (* 1/96 (/ (* (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))))))))))) 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))) (* (- (+ (* 1/48 (/ (* (exp (* -1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 3)) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) (/ (+ (* 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))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* -1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 3)) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 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))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 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))))))) (+ (* 1/737280 (/ (* (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)))) (* (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)))))))))))) (+ (* 1/9216 (/ (* (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)))) (+ (* 1/9216 (/ (* (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)))) (+ (* 1/471859200 (/ (* (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)))) (+ (* 1/1474560 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (* 1/4608 (/ (* (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 (- (+ (* 1/471859200 (/ (* (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)))) (* (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)))))))))))) (+ (* 1/9216 (/ (* (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)))) (+ (* 1/9216 (/ (* (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)))) (+ (* 1/471859200 (/ (* (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)))) (+ (* 1/1474560 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (* 1/4608 (/ (* (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 (- (+ (* 1/4608 (/ (* (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)))) (* (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)))))))))))) (+ (* 1/1474560 (/ (* (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)))) (+ (* 1/471859200 (/ (* (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)))) (+ (* 1/4608 (/ (* (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)))) (+ (* 1/9216 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (* 1/737280 (/ (* (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)))))))))))))) * [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))))))) (+ (* 1/737280 (/ (* (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)))) (* (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)))))))))))) (+ (* 1/1474560 (/ (* (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)))) (+ (* 1/471859200 (/ (* (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)))) (+ (* 1/4608 (/ (* (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)))) (+ (* 1/9216 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (+ (* 1/943718400 (/ (* (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)))) (* 1/737280 (/ (* (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)))))))))))))) (pow (/ 1 f) 2)) (+ (* (* -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))))))))))) (/ 1 f)) (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (log f) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (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 f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/18432 (/ (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/18432 (/ (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2949120 (/ (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/96 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (* 1/1474560 (/ (* (pow PI 6) (* (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]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (+ (* 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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 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)))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 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))))))))) (/ 1 (- f))) (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/943718400 (/ (* (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)))) (pow f 2)))) (+ (* 1/1474560 (/ (* (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)))) (pow f 2)))) (+ (log f) (+ (* 1/1474560 (/ (* (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)))) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (pow f 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (* (pow f 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (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)))) (pow f 2)))) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 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)))) 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)))) f))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (* f (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (* (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2) (pow f 2)))) (+ (* 1/943718400 (/ (* (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) (pow f 2)))) (+ (* 1/2949120 (/ (* (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) (pow f 2)))) (+ (* 1/1887436800 (/ (* (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) (pow f 2)))) (+ (* 1/2949120 (/ (* (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) (pow f 2)))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (pow f 2) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1887436800 (/ (* (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) (pow f 2)))) (+ (* 1/18432 (/ (* (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) (pow f 2)))) (+ (* 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)))) f))) (+ (* 1/18432 (/ (* (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) (pow f 2)))) (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2))) (* (pow f 2) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- f) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) f) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) (/ 1 (/ 1 f))) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 (/ 1 (- f)))) into (* -1/4 (* PI f)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))))) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (58 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* PI f) (* f f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* PI f) (* f f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (58 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* PI f) (* f f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* PI f) (* f f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (58 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* PI f) (* f f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* PI f) (* f f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (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 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f f) (* (* f 1/192) (pow PI 3))) (* 1/2 (* PI f))) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f f) (* (* f 1/192) (pow PI 3))) (* 1/2 (* PI f))) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f f) (* (* f 1/192) (pow PI 3))) (* 1/2 (* PI f))) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (+ (* (* f f) (* (* f 1/192) (pow PI 3))) (* 1/2 (* PI f))) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (65 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (+ (+ (* PI (* f 1/2)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (+ (+ (* PI (* f 1/2)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 9 / 98 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2))))) (- 2)) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2))))) (- 2)) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 10 / 98 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (+ (* (* PI f) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (+ (* (* PI f) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 11 / 98 ] 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 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (60 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 12 / 98 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2))))) (- 2)) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2))))) (- 2)) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 13 / 98 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (+ (* (* PI f) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (+ (* (* PI f) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 14 / 98 ] 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 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (60 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 15 / 98 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (60 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (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 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (- (log (+ (* (* PI f) 1/2) (+ (* (* (pow PI 3) (* 1/192 f)) (* f f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (+ (* (* PI f) 1/2) (+ (* (* (pow PI 3) (* 1/192 f)) (* f f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (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 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (pow (+ (* f (* 1/2 PI)) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) 3) (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 3)))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (pow (+ (* f (* 1/2 PI)) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) 3) (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 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 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (log (+ (* (+ (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) (+ (* (pow f 3) (* (* 1/192 PI) (* PI PI))) (* (* 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 (+ (* (+ (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) (+ (* (pow f 3) (* (* 1/192 PI) (* PI PI))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (* (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* f (* PI 1/2))) (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* f (* PI 1/2))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* f (* PI 1/2))) (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* f (* PI 1/2))))))) * [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 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (pow f 3) (* (* PI PI) (* 1/192 PI)))))) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (pow f 3) (* (* PI PI) (* 1/192 PI)))))) * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (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 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f f) (* PI f)) (* (* 1/192 PI) PI))))) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f f) (* PI f)) (* (* 1/192 PI) PI))))) * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (60 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* (* PI 1/2) f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* PI (* 1/192 PI))) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* PI (* 1/192 PI))) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (63 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (+ (* 1/2 (* PI f)) (+ (* (* (* f f) (* PI f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (+ (* 1/2 (* PI f)) (+ (* (* (* f f) (* PI f)) (* PI (* 1/192 PI))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) 3) * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 98 ] 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: [ 31 / 98 ] 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: [ 32 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 98 ] 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: [ 34 / 98 ] 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: [ 35 / 98 ] 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 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (13 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: [ 36 / 98 ] 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 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * * * * [misc]progress: [ 37 / 98 ] 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: [ 38 / 98 ] 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: [ 39 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 98 ] 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: [ 41 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 98 ] 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: [ 43 / 98 ] 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: [ 44 / 98 ] 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: [ 45 / 98 ] 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: [ 46 / 98 ] 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: [ 47 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f)) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f) (- f)) (- f)) (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- f) (/ 4 PI))) (cbrt (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [enter]simplify: Simplifying (cbrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- f) (/ 4 PI)) (/ (- f) (/ 4 PI))) (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- f)) * * [misc]simplify: iters left: 4 (3 enodes) * [exit]simplify: Simplified to f * [exit]simplify: Simplified to f * [enter]simplify: Simplifying (- (/ 4 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 4) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 68 / 98 ] 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 (/ (- f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 4) * [exit]simplify: Simplified to (/ 1 4) * [enter]simplify: Simplifying (/ (- f) (/ 1 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ f (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ f (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 4) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ -1 4) * [exit]simplify: Simplified to (/ -1 4) * [enter]simplify: Simplifying (/ f (/ 1 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 4) * [exit]simplify: Simplified to (/ PI 4) * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (/ f 1)) * [exit]simplify: Simplified to (- (/ f 1)) * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (cbrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (sqrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 4 (* f PI)) * [exit]simplify: Simplified to (/ 4 (* f PI)) * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (* 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 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (* (* (* f PI) (* f PI)) 1/48) (- (- (log (/ 4 PI)) (log f)) (* (* 7/23040 (pow f 4)) (pow PI 4))))) * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (log f) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (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 f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/18432 (/ (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/18432 (/ (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2949120 (/ (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/96 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (* 1/1474560 (/ (* (pow PI 6) (* (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]simplify: iters left: 6 (127 enodes) * * [misc]simplify: iters left: 5 (405 enodes) * [exit]simplify: Simplified to (* (- (- (+ (+ (log f) (+ (* (/ 1/1474560 (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 10) (pow PI 6)))) (/ (* (* 1/9216 (pow PI 4)) (pow (exp -1/4) (/ PI f))) (* (pow f 8) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))) (+ (+ (* 1/9216 (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 8) (pow PI 4))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 12) (pow PI 8))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) 1/943718400)) (+ (/ (/ (* (* 1/943718400 (pow PI 8)) (pow (exp -1/4) (/ PI f))) (pow f 12)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (+ (* (/ 1/1474560 (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp -1/4) (/ PI f)) (/ (pow f 10) (pow PI 6)))) (log (+ (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) PI) (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) PI))))))) (+ (* (/ 1/2949120 (pow f 10)) (/ (* (* (pow (exp 1/4) (/ PI f)) (pow PI 6)) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (* (/ 1/18432 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (pow PI 4) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (pow f 8))))) (+ (/ (* (* 1/30720 (pow PI 4)) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow f 6))) (+ (+ (/ (* 1/1887436800 (* (pow PI 8) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (pow f 12) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (* (/ 1/18432 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (pow PI 4) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8)))) (+ (+ (* (/ 1/30720 (pow f 6)) (/ (* (pow PI 4) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (/ 1/96 (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (* (pow (exp 1/4) (/ PI f)) (* PI PI)) (pow f 4)))) (+ (+ (* (/ 1/2949120 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow PI 6)) (pow f 10))) (/ (* 1/1887436800 (* (pow PI 8) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (pow f 12) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))) (+ (+ (* (/ 1/9216 (pow f 8)) (/ (* (pow PI 4) (exp (* (/ PI f) (+ 1/4 -1/4)))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (* (/ 1/1474560 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (pow PI 6) (exp (* (/ PI f) (+ 1/4 -1/4)))) (pow f 10)))) (+ (/ (* (* 1/943718400 (pow PI 8)) (exp (* (/ PI f) (+ 1/4 -1/4)))) (* (pow f 12) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (/ (/ (* (* 1/96 (* PI PI)) (pow (exp -1/4) (/ PI f))) (pow f 4)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (* 1/943718400 (/ (* (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)))) (pow f 2)))) (+ (* 1/1474560 (/ (* (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)))) (pow f 2)))) (+ (log f) (+ (* 1/1474560 (/ (* (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)))) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (pow f 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (* (pow f 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (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)))) (pow f 2)))) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 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)))) 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)))) f))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (* f (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (* (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2) (pow f 2)))) (+ (* 1/943718400 (/ (* (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) (pow f 2)))) (+ (* 1/2949120 (/ (* (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) (pow f 2)))) (+ (* 1/1887436800 (/ (* (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) (pow f 2)))) (+ (* 1/2949120 (/ (* (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) (pow f 2)))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (pow f 2) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1887436800 (/ (* (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) (pow f 2)))) (+ (* 1/18432 (/ (* (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) (pow f 2)))) (+ (* 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)))) f))) (+ (* 1/18432 (/ (* (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 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1/4) (/ PI f))) (pow (exp 1/4) (/ PI f))) (* f f)) 1/1887436800)) (+ (* 1/18432 (* (* (/ (* (pow PI 4) (pow (exp 1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp -1/4) (/ PI f)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f)))) (* (/ 1/2949120 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow PI 6)) (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f))))) (* f f))))) (+ (* (* (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow PI 8)) (* f f))) 1/1887436800) (+ (+ (* 1/18432 (* (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f)) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow PI 4)) (pow (exp -1/4) (/ PI f))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))) (* 1/96 (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (* (pow (exp -1/4) (/ PI f)) (* PI PI)) f)))) (* 1/18432 (+ (* (* (/ (* (pow PI 4) (pow (exp 1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp -1/4) (/ PI f)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f))) (* (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow PI 4)) (* f f))))))))) (/ (* (* 1/1474560 (* (pow (exp 1/4) (/ PI f)) (pow PI 6))) (* (pow (exp -1/4) (/ PI f)) (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f)))))) (* (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (* f f)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))))) * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))) (+ (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* (pow f 5) (* (pow PI 5) 1/61440))) (* f (* PI 1/2))))) (/ PI (- 4))) * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))) (+ (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* (pow f 5) (* (pow PI 5) 1/61440))) (* f (* PI 1/2))))) (/ PI (- 4))) * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* f (/ PI 4)))) (+ (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f))) (+ (+ (* (* (pow f 3) (* PI 1/192)) (* PI PI)) (* (pow f 5) (* (pow PI 5) 1/61440))) (* f (* PI 1/2))))) (/ PI (- 4))) * * * [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 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3))))) 1)) (pow (sqrt 2) 1)))) 24) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) (pow f 2)) (log (sqrt 2)))) into (- (+ (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/32 (/ (* (pow PI 2) (pow f 2)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [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 (* 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 (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [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 (* 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 (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 2 (/ (sqrt 2) PI)))) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (- (log (* 2 (/ (sqrt 2) PI))) (log f)) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [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)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 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 (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) 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)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [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 (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ (sqrt 2) PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3)))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 24) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) (pow f 2)) (- (log (* 2 (/ (sqrt 2) PI))) (log f)))) into (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/46080 (* (pow PI 4) (pow f 4)))))) (+ (log f) (+ (* 1/96 (* (pow f 2) (pow PI 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) (+ (* 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 (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [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 (* 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 (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/2 PI)) into (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) (+ (* 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 (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [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 (* 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 (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/2 PI)) into (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [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 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 1)) (pow (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) into (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/4608 (* (/ (pow PI 3) (pow f 6)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (* (/ (pow PI 5) (pow f 8)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (* (/ (pow PI 7) (pow f 10)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 2)) (pow (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4608 (* (/ (pow PI 3) (pow f 6)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (* (/ (pow PI 5) (pow f 8)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (* (/ (pow PI 7) (pow f 10)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 1)) (pow (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (* 1/2 (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (+ (* 1/9216 (/ (pow PI 4) (pow f 6))) (* 1/943718400 (/ (pow PI 8) (pow f 10)))))) * [misc]backup-simplify: Simplify (* 1/2 (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (+ (* 1/9216 (/ (pow PI 4) (pow f 6))) (* 1/943718400 (/ (pow PI 8) (pow f 10)))))) into (* 1/2 (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (+ (* 1/9216 (/ (pow PI 4) (pow f 6))) (* 1/943718400 (/ (pow PI 8) (pow f 10)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (+ (* 1/9216 (/ (pow PI 4) (pow f 6))) (* 1/943718400 (/ (pow PI 8) (pow f 10)))))) (pow (/ 1 f) 2)) (+ (* (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) (/ 1 f)) (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (- (+ (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (pow PI 4) (pow f 8))) (+ (log f) (+ (* 1/2949120 (/ (pow PI 6) (pow f 10))) (* 1/1887436800 (/ (pow PI 8) (pow f 12))))))) (+ (* 1/96 (/ (pow PI 2) (pow f 4))) (* 1/30720 (/ (pow PI 4) (pow f 6))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) (+ (* 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 (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [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 (* 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 (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/2 PI))) into (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) (+ (* 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 (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) (+ (* 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 (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [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 (* 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 (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/2 PI))) into (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [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 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (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 (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 1)) (pow (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) * [misc]backup-simplify: Simplify (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) into (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (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 (- (+ (* 1/4608 (* (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 7)) (sqrt (+ (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 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 2)) (pow (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4608 (* (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 7)) (sqrt (+ (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 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) 1)) (pow (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))))))) * [misc]backup-simplify: Simplify (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))))))) into (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6)))) (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6)))) (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4)))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) (/ 1 (- f))) (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (- (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4)) (pow f 2))) (+ (log f) (+ (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8)) (pow f 2))) (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))) (pow f 2))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)) f)) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2)) f)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1)))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 3 / 82 ] 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * * * * [misc]progress: [ 6 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * * * * [misc]progress: [ 7 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * * * * [misc]progress: [ 10 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1) * * * * [misc]progress: [ 11 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * * * * [misc]progress: [ 12 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) 3) * * * * [misc]progress: [ 13 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1))) * * * * [misc]progress: [ 14 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* PI f) 1/2) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (* (pow f 5) 1/61440) (pow PI 5))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* PI f) 1/2) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* PI f) 1/2) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (* (pow f 5) 1/61440) (pow PI 5))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* PI f) 1/2) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (59 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (* (* PI f) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (* (* PI f) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (59 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (* (* PI f) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (* (* PI f) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (59 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (* (* PI f) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (+ (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (* (* PI f) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 17 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) (* (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 (71 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* 1/2 (* PI f)) (* (* f 1/192) (* (pow PI 3) (* f f)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* 1/2 (* PI f)) (* (* f 1/192) (* (pow PI 3) (* f f)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* 1/2 (* PI f)) (* (* f 1/192) (* (pow PI 3) (* f f)))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* 1/2 (* PI f)) (* (* f 1/192) (* (pow PI 3) (* f f)))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 18 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) (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 (66 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI PI) (* PI 1/192)) (pow f 3))) (* PI (* 1/2 f))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI PI) (* PI 1/192)) (pow f 3))) (* PI (* 1/2 f))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 19 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))))) * [exit]simplify: Simplified to (- (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) (* (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 (68 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (+ (* PI (* 1/2 f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192))))) (cbrt (+ (* PI (* 1/2 f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192)))))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (+ (* PI (* 1/2 f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192))))) (cbrt (+ (* PI (* 1/2 f)) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 21 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) (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 (65 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* PI f))) (* (pow f 3) (* (* PI PI) (* PI 1/192))))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/2 (* PI f))) (* (pow f 3) (* (* PI PI) (* PI 1/192))))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 22 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) 1)) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 23 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (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 (66 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI)))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI)))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 24 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 25 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 26 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 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 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 27 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 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 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (+ (* PI (* 1/2 f)) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192))))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (+ (* PI (* 1/2 f)) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 28 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 29 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 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 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (cbrt (+ (+ (* (* 1/2 PI) f) (* (* PI (* 1/192 f)) (* (* PI f) (* PI f)))) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 30 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 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 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (+ (* PI (* 1/2 f)) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192))))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (+ (* PI (* 1/2 f)) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* (* (* PI f) (* f f)) (* (* PI PI) 1/192))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 31 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 32 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (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 (66 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI)))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI)))) (cbrt (+ (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI (* f 1/192)) (* (* PI f) (* PI f)))) (* (* f 1/2) PI))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (+ (* (* (* PI PI) (* 1/192 PI)) (pow f 3)) (* PI (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 34 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (* (* (pow PI 3) (* f 1/192)) (* f f)) (* (* f 1/2) PI)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 35 / 82 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2))))) (- 2)) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2))))) (- 2)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 36 / 82 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (+ (* (* PI f) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (* (pow f 3) (* (* PI 1/192) (* PI PI))) (+ (* (* PI f) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 37 / 82 ] 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 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 38 / 82 ] 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (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 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (- (log (+ (* (* PI f) 1/2) (+ (* (* (pow PI 3) (* 1/192 f)) (* f f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (+ (* (* PI f) 1/2) (+ (* (* (pow PI 3) (* 1/192 f)) (* f f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (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 (71 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (pow (+ (* (* 1/2 f) PI) (* (* (pow f 3) (* PI 1/192)) (* PI PI))) 3) (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 3)))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (pow (+ (* (* 1/2 f) PI) (* (* (pow f 3) (* PI 1/192)) (* PI PI))) 3) (pow (* 1/61440 (* (pow PI 5) (pow f 5))) 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 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (log (+ (* (+ (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) (+ (* (pow f 3) (* (* 1/192 PI) (* PI PI))) (* (* 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 (+ (* (+ (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) (+ (* (pow f 3) (* (* 1/192 PI) (* PI PI))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (* (* 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 (72 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (+ (* (* f 1/2) PI) (* (* (* f f) (* f 1/192)) (pow PI 3))) (+ (* (* f 1/2) PI) (* (* (* f f) (* f 1/192)) (pow PI 3))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (+ (* (* f 1/2) PI) (* (* (* f f) (* f 1/192)) (pow PI 3))) (+ (* (* f 1/2) PI) (* (* (* f f) (* f 1/192)) (pow PI 3))))))) * [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 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (pow f 3) (* (* PI PI) (* 1/192 PI)))))) * [exit]simplify: Simplified to (log (- (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* PI 1/2) f) (* (pow f 3) (* (* PI PI) (* 1/192 PI)))))) * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (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 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f f) (* PI f)) (* (* 1/192 PI) PI))))) * [exit]simplify: Simplified to (log (+ (* (* PI 1/2) f) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* (* (* f f) (* PI f)) (* (* 1/192 PI) PI))))) * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 44 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 48 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* (* PI 1/192) (pow f 3)) (* PI PI)) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* (* PI 1/192) (pow f 3)) (* PI PI)) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (63 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* 1/192 (* PI PI))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (64 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* PI f) 1/2) (* (* (pow f 3) (* PI 1/192)) (* PI PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (+ (* (* PI f) 1/2) (* (* (pow f 3) (* PI 1/192)) (* PI PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) 3) * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 52 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 82 ] 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: [ 54 / 82 ] 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: [ 55 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 82 ] 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: [ 57 / 82 ] 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: [ 58 / 82 ] 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 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (13 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: [ 59 / 82 ] 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 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * * * * [misc]progress: [ 60 / 82 ] 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: [ 61 / 82 ] 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: [ 62 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 82 ] 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: [ 64 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 82 ] 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: [ 66 / 82 ] 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: [ 67 / 82 ] 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: [ 68 / 82 ] 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: [ 69 / 82 ] 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: [ 70 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (- (+ (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/32 (/ (* (pow PI 2) (pow f 2)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (58 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (* PI PI) (* 1/192 PI)) (pow f 3))) (* (* f 1/2) PI)))) (+ (log (sqrt 2)) (- (+ (/ (* (* PI PI) 1/32) (/ (/ 2 f) f)) (* (* (pow PI 4) 1/6144) (/ (pow f 4) 2))) (/ (* (pow f 4) (* (pow PI 4) 1/1024)) (pow (sqrt 2) 4))))) (- (/ 4 PI))) * * * * [misc]progress: [ 72 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (45 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (* (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) (* 1/192 f)) (pow PI 3)) (* (* f 1/2) PI))))) (log (sqrt (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (/ (- 4) PI)) * * * * [misc]progress: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (45 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (* (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (+ (* (* (* f f) (* 1/192 f)) (pow PI 3)) (* (* f 1/2) PI))))) (log (sqrt (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (/ (- 4) PI)) * * * * [misc]progress: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/46080 (* (pow PI 4) (pow f 4)))))) (+ (log f) (+ (* 1/96 (* (pow f 2) (pow PI 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (+ (- (+ (+ (log (/ (sqrt 2) (/ PI 2))) (/ (* (* f f) 1/32) (/ (/ 2 PI) PI))) (+ (/ (* 1/6144 (pow PI 4)) (/ 2 (pow f 4))) (* 1/46080 (* (pow PI 4) (pow f 4))))) (+ (+ (log f) (* (* (* PI PI) 1/96) (* f f))) (* (/ (* (pow PI 4) 1/1024) (pow (sqrt 2) 4)) (pow f 4)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) 1))) (- (/ 4 PI))) * * * * [misc]progress: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (- (+ (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (pow PI 4) (pow f 8))) (+ (log f) (+ (* 1/2949120 (/ (pow PI 6) (pow f 10))) (* 1/1887436800 (/ (pow PI 8) (pow f 12))))))) (+ (* 1/96 (/ (pow PI 2) (pow f 4))) (* 1/30720 (/ (pow PI 4) (pow f 6))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (- (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (+ (log (* (/ 2 PI) (sqrt (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (+ (+ (log f) (/ (* 1/18432 (pow PI 4)) (pow f 8))) (+ (* 1/2949120 (/ (pow PI 6) (pow f 10))) (* (/ 1/1887436800 (pow f 12)) (pow PI 8)))))) (+ (/ (pow PI 4) (/ (pow f 6) 1/30720)) (* 1/96 (/ (* PI PI) (pow f 4))))) (- (/ 4 PI))) * * * * [misc]progress: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (- (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4)) (pow f 2))) (+ (log f) (+ (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8)) (pow f 2))) (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))) (pow f 2))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)) f)) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2)) f)))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (* (- (+ (+ (+ (* 1/1887436800 (/ (exp (* (- (log -1) (log f)) (+ 5 5))) (/ (* f f) (pow PI 8)))) (/ (* 1/2949120 (pow (exp 3) (- (log -1) (log f)))) (/ (/ (* f f) (pow PI 6)) (pow (exp 5) (- (log -1) (log f)))))) (+ (log f) (log (* (/ -2 PI) (sqrt (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))) (+ (/ (* (* 1/18432 (pow PI 4)) (exp (* (- (log -1) (log f)) (+ 3 3)))) (* f f)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1)))) (+ (* (/ (pow (exp 3) (- (log -1) (log f))) (/ (/ f PI) PI)) 1/96) (* 1/30720 (/ (pow (exp 5) (- (log -1) (log f))) (/ f (pow PI 4)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 77 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (+ (* 1/2 (* PI f)) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)))) * * * * [misc]progress: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (+ (* 1/2 (* PI f)) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)))) * * * * [misc]progress: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (+ (* 1/2 (* PI f)) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)))) * * * * [misc]progress: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (+ (* 1/2 (* PI f)) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)))) * * * * [misc]progress: [ 81 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (+ (* 1/2 (* PI f)) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)))) * * * * [misc]progress: [ 82 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (+ (+ (* 1/2 (* PI f)) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)))) * * * [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 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/16 (pow PI 2))) 1)) (pow 2 1)))) 2) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/16 (pow PI 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/16 (pow PI 2))) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/16 (pow PI 2))) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/3072 (pow PI 4))) 1)) (pow 2 1)))) 24) into (* -1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (* -1/3072 (pow PI 4)) into (* -1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -1/3072 (pow PI 4)) (pow f 4)) (+ (* (* 1/32 (pow PI 2)) (pow f 2)) (log 2))) into (- (+ (* 1/32 (* (pow PI 2) (pow f 2))) (log 2)) (* 1/3072 (* (pow PI 4) (pow f 4)))) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) 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 (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (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))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (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)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (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)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (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)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (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)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (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)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (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)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (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)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (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)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (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 f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) 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 (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (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))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (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)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (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)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (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)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (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)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (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)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (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)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (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)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (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)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (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)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (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 f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- f) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) f) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) (/ 1 (/ 1 f))) into (* -1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 (/ 1 (- f)))) into (* -1/4 (* PI f)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 3 / 84 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 4 / 84 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow (exp (/ (- f) (/ 4 PI))) 3) (pow (exp (* f (/ PI 4))) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp (/ f 4)) (* (+ 1 2) (- PI))) (pow (exp (/ PI 4)) (+ f (+ f f))))) * [exit]simplify: Simplified to (log (+ (pow (exp (/ f 4)) (* (+ 1 2) (- PI))) (pow (exp (/ PI 4)) (+ f (+ f f))))) * [enter]simplify: Simplifying (log (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (log (- (exp (* (/ PI 4) (+ f f))) (- 1 (pow (exp (- PI)) (/ (+ f f) 4))))) * [exit]simplify: Simplified to (log (- (exp (* (/ PI 4) (+ f f))) (- 1 (pow (exp (- PI)) (/ (+ f f) 4))))) * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (log (- (pow (* (exp PI) (exp PI)) (- (/ f 4))) (exp (/ (+ PI PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (- (pow (* (exp PI) (exp PI)) (- (/ f 4))) (exp (/ (+ PI PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (- (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (cbrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (* (cbrt (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (cbrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cbrt (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (cbrt (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (pow (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 3) * [exit]simplify: Simplified to (pow (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 3) * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (sqrt (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (sqrt (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (sqrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (sqrt (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (sqrt (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 84 ] 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: [ 17 / 84 ] 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: [ 18 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 84 ] 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: [ 20 / 84 ] 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: [ 21 / 84 ] 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 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (13 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: [ 22 / 84 ] 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 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * * * * [misc]progress: [ 23 / 84 ] 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: [ 24 / 84 ] 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: [ 25 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 84 ] 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: [ 27 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 84 ] 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: [ 29 / 84 ] 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: [ 30 / 84 ] 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: [ 31 / 84 ] 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: [ 32 / 84 ] 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: [ 33 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f)) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log (- f)) (log (/ 4 PI))) * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * [exit]simplify: Simplified to (log (* (- PI) (/ f 4))) * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (exp (* (/ f 4) (- PI))) * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f) (- f)) (- f)) (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * [exit]simplify: Simplified to (pow (* (- PI) (/ f 4)) 3) * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- f) (/ 4 PI))) (cbrt (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [exit]simplify: Simplified to (* (cbrt (* (- PI) (/ f 4))) (cbrt (* (- PI) (/ f 4)))) * [enter]simplify: Simplifying (cbrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (cbrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- f) (/ 4 PI)) (/ (- f) (/ 4 PI))) (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * [exit]simplify: Simplified to (pow (/ (- PI) (/ 4 f)) 3) * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [enter]simplify: Simplifying (sqrt (/ (- f) (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (sqrt (* (/ f 4) (- PI))) * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- f)) * * [misc]simplify: iters left: 4 (3 enodes) * [exit]simplify: Simplified to f * [exit]simplify: Simplified to f * [enter]simplify: Simplifying (- (/ 4 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (cbrt (/ 4 PI))) (/ (cbrt (- f)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) (sqrt (/ 4 PI))) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (cbrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [exit]simplify: Simplified to (* (cbrt (- f)) (/ (cbrt (- f)) 1)) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (cbrt (- f))) * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f)) (cbrt (- f))) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ (cbrt (- f)) 4) (cbrt (- f))) * [enter]simplify: Simplifying (/ (cbrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (cbrt (- f))) * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (sqrt (- f)) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [exit]simplify: Simplified to (/ (sqrt (- f)) 1) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 4) (sqrt (- f))) * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f)) 4) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [exit]simplify: Simplified to (/ (sqrt (- f)) 4) * [enter]simplify: Simplifying (/ (sqrt (- f)) (/ 1 PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * [exit]simplify: Simplified to (* (/ PI 1) (sqrt (- f))) * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 54 / 84 ] 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 (/ (- f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * [exit]simplify: Simplified to (* (/ f 4) (- PI)) * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 4) * [exit]simplify: Simplified to (/ 1 4) * [enter]simplify: Simplifying (/ (- f) (/ 1 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * [exit]simplify: Simplified to (* (- PI) (/ f 1)) * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (/ -1 (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (/ f (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (cbrt (/ 4 PI))) * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ -1 (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (/ f (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ f (sqrt (/ 4 PI))) * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 4) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ -1 4) * [exit]simplify: Simplified to (/ -1 4) * [enter]simplify: Simplifying (/ f (/ 1 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * [exit]simplify: Simplified to (/ f (/ 1 PI)) * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 4) * [exit]simplify: Simplified to (/ PI 4) * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * [exit]simplify: Simplified to (/ f (/ 4 PI)) * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (/ (- f) (cbrt (/ 4 PI))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (/ (- f) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (/ f 1)) * [exit]simplify: Simplified to (- (/ f 1)) * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (cbrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (cbrt (- f))) * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (sqrt (- f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * [exit]simplify: Simplified to (/ (/ 4 PI) (sqrt (- f))) * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) (- f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * [exit]simplify: Simplified to (/ (/ 4 PI) (- f)) * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 PI) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 4 (* f PI)) * [exit]simplify: Simplified to (/ 4 (* f PI)) * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ f 4)) * [exit]simplify: Simplified to (- (/ f 4)) * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (- (+ (* 1/32 (* (pow PI 2) (pow f 2))) (log 2)) (* 1/3072 (* (pow PI 4) (pow f 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 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (+ (- (+ (- (log 2) (* (pow PI 4) (* (pow f 4) 1/3072))) (* (* (* f f) (* PI 1/32)) PI))) (log (+ (+ (* (* (* 1/192 f) (* f f)) (pow PI 3)) (* (pow f 5) (* (pow PI 5) 1/61440))) (* (* f 1/2) PI)))) (/ 4 PI)) * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (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 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* 1/2 f) PI) (* (* (* f 1/192) (* f f)) (pow PI 3))))) (- (log (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (/ 4 PI)) * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (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 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* (* 1/2 f) PI) (* (* (* f 1/192) (* f f)) (pow PI 3))))) (- (log (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (/ 4 PI)) * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 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 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* PI 1/2))) (* (pow f 3) (* (* PI PI) (* 1/192 PI))))) (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 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 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* PI 1/2))) (* (pow f 3) (* (* PI PI) (* 1/192 PI))))) (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 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 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* PI 1/2))) (* (pow f 3) (* (* PI PI) (* 1/192 PI))))) (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 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 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* PI 1/2))) (* (pow f 3) (* (* PI PI) (* 1/192 PI))))) (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 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 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* PI 1/2))) (* (pow f 3) (* (* PI PI) (* 1/192 PI))))) (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 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 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (* f (* PI 1/2))) (* (pow f 3) (* (* PI PI) (* 1/192 PI))))) (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (* f (/ 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 (35 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* PI (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI)))) (- (log (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f)))))) (/ PI 4)) * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (* f (/ 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 (35 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* PI (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI)))) (- (log (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f)))))) (/ PI 4)) * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (* f (/ 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 (35 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (+ (log (+ (+ (* PI (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* (pow f 3) (* 1/192 PI)) (* PI PI)))) (- (log (+ (pow (exp f) (/ PI 4)) (pow (exp -1/4) (* PI f)))))) (/ PI 4)) * * * [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 f +inf.0)) , with alts (#) * [enter]simplify: Simplifying (+ (* (+ (- (* (* PI f) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (pow f 3) (* (* 1/192 PI) (* PI PI)))) (+ (* (pow f 3) (* (* 1/192 PI) (* PI PI))) (* (* PI f) 1/2))) (* (* 1/61440 (* (pow PI 5) (pow f 5))) (* 1/61440 (* (pow PI 5) (pow f 5))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (+ (* (- (+ (* f (* 1/2 PI)) (* (* (* PI PI) (* 1/192 PI)) (pow f 3))) (* (pow f 5) (* 1/61440 (pow PI 5)))) (+ (* f (* 1/2 PI)) (* (* (* PI PI) (* 1/192 PI)) (pow f 3)))) (* (* (pow f 5) (* 1/61440 (pow PI 5))) (* (pow f 5) (* 1/61440 (pow PI 5))))) * [exit]simplify: Simplified to (+ (* (- (+ (* f (* 1/2 PI)) (* (* (* PI PI) (* 1/192 PI)) (pow f 3))) (* (pow f 5) (* 1/61440 (pow PI 5)))) (+ (* f (* 1/2 PI)) (* (* (* PI PI) (* 1/192 PI)) (pow f 3)))) (* (* (pow f 5) (* 1/61440 (pow PI 5))) (* (pow f 5) (* 1/61440 (pow PI 5))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (log f) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (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 f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/18432 (/ (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/18432 (/ (* (pow PI 4) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 8) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/96 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (pow (exp (* 1/4 (/ PI f))) 2)) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2949120 (/ (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)) (* (pow f 10) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/96 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (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)))) (* 1/1474560 (/ (* (pow PI 6) (* (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]simplify: iters left: 6 (127 enodes) * * [misc]simplify: iters left: 5 (405 enodes) * [exit]simplify: Simplified to (* (- (- (+ (+ (log f) (+ (* (/ 1/1474560 (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 10) (pow PI 6)))) (/ (* (* 1/9216 (pow PI 4)) (pow (exp -1/4) (/ PI f))) (* (pow f 8) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))) (+ (+ (* 1/9216 (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 8) (pow PI 4))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 12) (pow PI 8))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) 1/943718400)) (+ (/ (/ (* (* 1/943718400 (pow PI 8)) (pow (exp -1/4) (/ PI f))) (pow f 12)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (+ (* (/ 1/1474560 (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (pow (exp -1/4) (/ PI f)) (/ (pow f 10) (pow PI 6)))) (log (+ (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) PI) (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) PI))))))) (+ (* (/ 1/2949120 (pow f 10)) (/ (* (* (pow (exp 1/4) (/ PI f)) (pow PI 6)) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (* (/ 1/18432 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (pow PI 4) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (pow f 8))))) (+ (/ (* (* 1/30720 (pow PI 4)) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow f 6))) (+ (+ (/ (* 1/1887436800 (* (pow PI 8) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (pow f 12) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (* (/ 1/18432 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (pow PI 4) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8)))) (+ (+ (* (/ 1/30720 (pow f 6)) (/ (* (pow PI 4) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (/ 1/96 (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ (* (pow (exp 1/4) (/ PI f)) (* PI PI)) (pow f 4)))) (+ (+ (* (/ 1/2949120 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow PI 6)) (pow f 10))) (/ (* 1/1887436800 (* (pow PI 8) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (pow f 12) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))) (+ (+ (* (/ 1/9216 (pow f 8)) (/ (* (pow PI 4) (exp (* (/ PI f) (+ 1/4 -1/4)))) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (* (/ 1/1474560 (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (* (pow PI 6) (exp (* (/ PI f) (+ 1/4 -1/4)))) (pow f 10)))) (+ (/ (* (* 1/943718400 (pow PI 8)) (exp (* (/ PI f) (+ 1/4 -1/4)))) (* (pow f 12) (* (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (/ (/ (* (* 1/96 (* PI PI)) (pow (exp -1/4) (/ PI f))) (pow f 4)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (* 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 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (* (* (* f PI) (* f PI)) 1/48) (- (- (log (/ 4 PI)) (log f)) (* (* 7/23040 (pow f 4)) (pow PI 4))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (+ (+ (* (* f 1/192) (* (* f f) (pow PI 3))) (* (* PI f) 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (+ (* (* (* f f) (* PI f)) (* PI (* PI 1/192))) (* (* PI f) 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3)))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 PI) (pow f 3)) (* PI PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ PI (- 4))) * [enter]simplify: Simplifying (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [enter]simplify: Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f f) (* PI f)) (* (* PI PI) 1/192)) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (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 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (- (log (+ (* (* PI f) 1/2) (+ (* (* (pow PI 3) (* 1/192 f)) (* f f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (+ (* (* PI f) 1/2) (+ (* (* (pow PI 3) (* 1/192 f)) (* f f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (* 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 (61 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (+ (* PI (* f 1/2)) (* (* (* f f) (* PI f)) (* PI (* PI 1/192)))) (* (pow f 5) (* 1/61440 (pow PI 5))))))