* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (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 (193 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: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) into (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) into (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) PI)) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) into (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) into (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) f) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) f) into (* 1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 (/ 1 f))) into (* 1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* -1/4 PI) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) (/ 1 (/ 1 (- f)))) into (* 1/4 (* PI f)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (expm1 (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (expm1 (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 2 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log1p (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (log1p (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 3 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 4 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 5 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 6 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 7 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 9 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 10 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 11 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (pow (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) 3) * [exit]simplify: Simplified to (pow (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) 3) * * * * [misc]progress: [ 12 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 13 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (- (exp (/ (fma f 2 f) (/ 4 PI))) (pow (exp (/ PI 4)) (- (fma f 2 f)))) * [exit]simplify: Simplified to (- (exp (/ (fma f 2 f) (/ 4 PI))) (pow (exp (/ PI 4)) (- (fma f 2 f)))) * [enter]simplify: Simplifying (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (fma (exp (* (- PI) (/ f 4))) (exp (* (- PI) (/ f 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * [exit]simplify: Simplified to (fma (exp (* (- PI) (/ f 4))) (exp (* (- PI) (/ f 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * * * * [misc]progress: [ 14 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 15 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (- (exp (/ (+ PI PI) (/ 4 f))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (/ (+ PI PI) (/ 4 f))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))) * [enter]simplify: Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 17 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 18 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 19 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 20 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 21 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 22 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (- (log (/ PI 4)))) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (- (log (/ PI 4)))) * * * * [misc]progress: [ 24 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (log (/ 4 PI))) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (log (/ 4 PI))) * * * * [misc]progress: [ 25 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))) * * * * [misc]progress: [ 26 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ 4 PI)) * * * * [misc]progress: [ 27 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (pow (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) 3) (pow (/ 4 PI) 3)) * [exit]simplify: Simplified to (* (pow (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) 3) (pow (/ 4 PI) 3)) * * * * [misc]progress: [ 28 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)))) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 29 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3) * * * * [misc]progress: [ 30 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 31 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 33 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 34 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 35 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))))) (/ (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))))) (/ (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 36 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (fma 2 (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (- (log 1))) (/ 4 PI)) * [exit]simplify: Simplified to (* (fma 2 (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (- (log 1))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 37 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))))) (/ (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* (/ PI 4) f))))) (/ PI 4))) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))))) (/ (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* (/ PI 4) f))))) (/ PI 4))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 38 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (fma 2 (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (- (log 1))) (/ 4 PI)) * [exit]simplify: Simplified to (* (fma 2 (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (- (log 1))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 39 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4)) (/ (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4) 2))) * [exit]simplify: Simplified to (- (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4)) (/ (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4) 2))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 40 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 41 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 42 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 43 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 44 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 45 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 46 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 47 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 48 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 49 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 50 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 51 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 52 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 53 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 54 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 55 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 56 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) (fma f 2 f))) (pow (exp (- f)) (fma 2 (/ PI 4) (/ PI 4)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) (fma f 2 f))) (pow (exp (- f)) (fma 2 (/ PI 4) (/ PI 4)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (/ (log (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1))) (/ PI 4)) * * * * [misc]progress: [ 57 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (- (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (/ PI 4)) * * * * [misc]progress: [ 58 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ (+ 4 4) PI)) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ (+ 4 4) PI)) * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 59 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 60 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 61 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 62 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (fma (log (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) 2 (- (log 1))) (/ 4 PI)) * [exit]simplify: Simplified to (* (fma (log (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) 2 (- (log 1))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 63 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ (log (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (- (* (/ 2 (/ PI 4)) (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ (log (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 64 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (fma (log (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) 2 (- (log 1))) (/ 4 PI)) * [exit]simplify: Simplified to (* (fma (log (cbrt (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) 2 (- (log 1))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 65 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (- (/ (log (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) (/ (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4) 2))) * [exit]simplify: Simplified to (- (/ (log (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) (/ (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4) 2))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 66 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 67 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) 1)) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 68 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 69 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) 1)) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 70 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (* (- 2) (log (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (* (- 2) (log (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 71 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 72 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 73 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 74 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 75 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (* (- 2) (log (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (* (- 2) (log (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 76 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 77 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 78 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 79 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 80 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 81 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 82 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) (fma 2 f f))) (pow (exp (- f)) (fma (/ PI 4) 2 (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) (fma 2 f f))) (pow (exp (- f)) (fma (/ PI 4) 2 (/ PI 4)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (log (fma (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (fma (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1))) (/ PI 4)) * * * * [misc]progress: [ 83 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (/ (- (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 84 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (/ PI 4)) * [exit]simplify: Simplified to (/ 1 (/ PI 4)) * * * * [misc]progress: [ 85 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) (cbrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (/ (cbrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) (cbrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * * * * [misc]progress: [ 86 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 87 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (/ PI 4)) * [exit]simplify: Simplified to (/ 1 (/ PI 4)) * * * * [misc]progress: [ 88 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 89 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 90 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 91 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 92 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 93 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 94 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 96 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 97 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (log (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (- (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (log (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 99 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 100 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 101 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) 3) * * * * [misc]progress: [ 102 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 103 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 3) * * * * [misc]progress: [ 104 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 105 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (- (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (- (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 106 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 107 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 108 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (/ 1 (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (/ 1 (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 109 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 110 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (/ 1 (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (/ 1 (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 111 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 112 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 113 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 114 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 115 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 116 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 117 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 118 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 119 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 120 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 121 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 122 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 123 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 124 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 125 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 126 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 128 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 129 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 130 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 131 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * * * * [misc]progress: [ 132 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 133 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * * * * [misc]progress: [ 134 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (- (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 135 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (- (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 136 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 137 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 138 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI)))) (- (exp (/ (fma f 2 f) (/ 4 PI))) (pow (exp (/ PI 4)) (- (fma f 2 f))))) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI)))) (- (exp (/ (fma f 2 f) (/ 4 PI))) (pow (exp (/ PI 4)) (- (fma f 2 f))))) * * * * [misc]progress: [ 139 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 140 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (* (fma (exp (* (- PI) (/ f 4))) (exp (* (- PI) (/ f 4))) (expm1 (/ (+ f f) (/ 4 PI)))) (- (exp (/ (* f PI) 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (* (fma (exp (* (- PI) (/ f 4))) (exp (* (- PI) (/ f 4))) (expm1 (/ (+ f f) (/ 4 PI)))) (- (exp (/ (* f PI) 4)) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 141 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (* (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 142 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (expm1 (/ f (/ 4 PI))) * [exit]simplify: Simplified to (expm1 (/ f (/ 4 PI))) * * * * [misc]progress: [ 143 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (log1p (/ f (/ 4 PI))) * [exit]simplify: Simplified to (log1p (/ f (/ 4 PI))) * * * * [misc]progress: [ 144 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (/ (* f PI) 4)) * [exit]simplify: Simplified to (log (/ (* f PI) 4)) * * * * [misc]progress: [ 146 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (exp (/ PI (/ 4 f))) * [exit]simplify: Simplified to (exp (/ PI (/ 4 f))) * * * * [misc]progress: [ 147 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* f PI) 4)) (cbrt (/ (* f PI) 4))) * [exit]simplify: Simplified to (* (cbrt (/ (* f PI) 4)) (cbrt (/ (* f PI) 4))) * [enter]simplify: Simplifying (cbrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ f (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (/ f (/ 4 PI))) * * * * [misc]progress: [ 148 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (pow (/ PI (/ 4 f)) 3) * [exit]simplify: Simplified to (pow (/ PI (/ 4 f)) 3) * * * * [misc]progress: [ 149 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ f (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (/ f (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ f (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (/ f (/ 4 PI))) * * * * [misc]progress: [ 150 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) f) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 4)) f) * [exit]simplify: Simplified to (* (cbrt (/ PI 4)) f) * * * * [misc]progress: [ 152 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ PI 4)) f) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 4)) f) * [exit]simplify: Simplified to (* (sqrt (/ PI 4)) f) * * * * [misc]progress: [ 153 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 4) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ f 4) PI) * [exit]simplify: Simplified to (* (/ f 4) PI) * * * * [misc]progress: [ 154 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 4) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ f 4) * [exit]simplify: Simplified to (/ f 4) * * * * [misc]progress: [ 155 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* f PI) * [exit]simplify: Simplified to (* f PI) * * * * [misc]progress: [ 156 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 158 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (pow (exp 1/4) (* f PI)) (exp (* (* 1/4 f) (- PI)))))) (/ (- 4) PI)) * * * * [misc]progress: [ 159 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ PI (- 4))) * * * * [misc]progress: [ 160 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (fma PI (- (* (* f 1/12) f) (* (* 7/5760 (pow f 4)) (* PI PI))) (- (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log f))))) * * * * [misc]progress: [ 161 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (- PI) (* f 1/4)))) (- (pow (exp 1/4) (* PI f)) (exp (* (- PI) (* f 1/4))))))) * * * * [misc]progress: [ 162 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ (- 4) PI)) * * * * [misc]progress: [ 163 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (log (- (fma 1/12 (* f PI) (/ (/ 4 f) PI)) (* (pow f 3) (* (* 1/2880 PI) (* PI PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 164 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (- (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))))) (/ PI (- 4))) * * * * [misc]progress: [ 165 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * * * * [misc]progress: [ 166 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- 1/4) (* f PI))))))) * * * * [misc]progress: [ 167 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- 1/4) (* f PI))))))) * * * * [misc]progress: [ 168 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- 1/4) (* f PI))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 3 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 3 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) 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 (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) 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 (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (- (log (/ 4 PI)) (log f))) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 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 (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/192) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 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 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 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 (* (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 (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/192) (* 0 0)))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 1/192 (pow PI 2))))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (* 1/12 PI)) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1/192) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 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) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/192) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [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 (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (* 7/5760 (pow PI 3)) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/5760 (pow PI 3)) (pow f 4)) (+ (* (- (* 1/12 PI)) (pow f 2)) (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) * [misc]approximate: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) 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 (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) 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 (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) into (* -4 (/ (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) PI)) into (* -4 (/ (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [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) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))))) into (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) 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 (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5))))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [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) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) into (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/80 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) PI) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5))))) (pow (/ 1 f) 3)) (+ (* (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (pow (/ 1 f) 2)) (* -4 (/ (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))) PI)))) into (- (+ (* 1/80 (/ (* PI (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))) (+ (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)) (* 12 (/ (log (/ 1 f)) PI)))) * [misc]approximate: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) 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 (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) 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 (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) into (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) into (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 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 0) (* 0 1/192)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [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) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))))) into (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) 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 (* 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 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [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) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) (+ (* 0 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))))) into (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 3) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 2)) (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (+ (* 1/80 (/ (* PI (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 1/80 (/ (* PI (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))) (+ (* 4 (/ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)) (* 12 (/ (log (/ -1 f)) PI)))) * * * * [misc]progress: [ 3 / 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: [ 4 / 4 ] generating series at (2 2 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* f 1/192) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/192 f) into (* 1/192 f) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) 1/192) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/192 (/ 1 (/ 1 f))) into (* 1/192 f) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify -1/192 into -1/192 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/192))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/192 (/ 1 (/ 1 (- f)))) into (* 1/192 f) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 2 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 3 / 136 ] 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: [ 4 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 136 ] 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: [ 6 / 136 ] 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: [ 7 / 136 ] 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: [ 8 / 136 ] 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: [ 9 / 136 ] 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: [ 10 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (expm1 (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (expm1 (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 12 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (log1p (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (log1p (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 13 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 14 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 4 PI))) (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (log (- (/ 4 PI))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (+ (log (- (/ 4 PI))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * * * [misc]progress: [ 16 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ PI (- 4)))) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ PI (- 4)))) * * * * [misc]progress: [ 17 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (/ (- 4) PI)) * * * * [misc]progress: [ 18 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 4 PI)) (- (/ 4 PI))) (- (/ 4 PI))) (* (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (* (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (* (* (- (/ 4 PI)) (* (/ 4 PI) (/ 4 PI))) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * [exit]simplify: Simplified to (* (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (* (* (- (/ 4 PI)) (* (/ 4 PI) (/ 4 PI))) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * * * [misc]progress: [ 19 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (cbrt (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI)))) (cbrt (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI))))) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI)))) (cbrt (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI))))) * [enter]simplify: Simplifying (cbrt (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (cbrt (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (cbrt (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 20 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (pow (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) 3) * [exit]simplify: Simplified to (pow (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) 3) * * * * [misc]progress: [ 21 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * [enter]simplify: Simplifying (sqrt (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 22 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI 4)) * * * * [misc]progress: [ 24 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * * * [misc]progress: [ 25 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * * * [misc]progress: [ 26 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (* (* (- 2) (/ 4 PI)) (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * [exit]simplify: Simplified to (* (* (- 2) (/ 4 PI)) (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 27 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 28 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (fma 2 (log (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (- (log 1)))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (fma 2 (log (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (- (log 1)))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI (- 4))) * * * * [misc]progress: [ 29 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 30 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 31 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) 1)) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) 1)) (/ PI (- 4))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI (- 4))) * * * * [misc]progress: [ 32 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI)) (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI))) * [exit]simplify: Simplified to (+ (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI)) (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 33 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (log (sqrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 34 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 35 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI)) (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI))) * [exit]simplify: Simplified to (+ (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI)) (* (log (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 36 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (log (sqrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 37 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 38 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (- (log 1)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log 1)) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 39 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (log (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))) (/ 4 PI)) * * * * [misc]progress: [ 40 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (* (- 2) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (* (- 2) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * * * * [misc]progress: [ 41 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * * * * [misc]progress: [ 42 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (* (- 2) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (* (- 2) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 43 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (log (* (cbrt (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (* (cbrt (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 44 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) 1)) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (fma 2 (log (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (- (log 1)))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (fma 2 (log (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (- (log 1)))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (/ PI (- 4))) * * * * [misc]progress: [ 45 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) (* (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) (* (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 46 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 47 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) 1)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) 1)) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (/ PI (- 4))) * * * * [misc]progress: [ 48 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 49 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 50 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) * * * * [misc]progress: [ 51 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (* (/ 4 PI) (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 52 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ PI (- 4))) * * * * [misc]progress: [ 53 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) * * * * [misc]progress: [ 54 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (- (log 1)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log 1)) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) * * * * [misc]progress: [ 55 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (/ 4 PI)) * * * * [misc]progress: [ 56 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- 4) PI) * [exit]simplify: Simplified to (/ (- 4) PI) * * * * [misc]progress: [ 57 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (* (/ 4 PI) (cbrt (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (- (cbrt (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * [exit]simplify: Simplified to (* (* (/ 4 PI) (cbrt (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (- (cbrt (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * * * [misc]progress: [ 58 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (sqrt (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (sqrt (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * * * [misc]progress: [ 59 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- 4) PI) * [exit]simplify: Simplified to (/ (- 4) PI) * * * * [misc]progress: [ 60 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 4 PI))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (- (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (- (/ 4 PI)))) * * * * [misc]progress: [ 61 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (/ 4 PI))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (sqrt (- (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (sqrt (- (/ 4 PI)))) * * * * [misc]progress: [ 62 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 63 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI 4)) * * * * [misc]progress: [ 64 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 65 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 66 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI 4)) * * * * [misc]progress: [ 67 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) PI) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* f 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) PI) * * * * [misc]progress: [ 68 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cbrt (/ 4 PI))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (- (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (- (cbrt (/ 4 PI)))) * * * * [misc]progress: [ 69 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqrt (/ 4 PI))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (- (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (- (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 70 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 71 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ PI (- 1))) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ PI (- 1))) * * * * [misc]progress: [ 72 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 4) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (- 4) (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (* (- 4) (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 73 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 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 (expm1 (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (expm1 (* (/ f 4) (- PI))) * * * * [misc]progress: [ 75 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 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 (log1p (* (/ f 4) (- PI))) * [exit]simplify: Simplified to (log1p (* (/ f 4) (- PI))) * * * * [misc]progress: [ 76 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 136 ] 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: [ 78 / 136 ] 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: [ 79 / 136 ] 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: [ 80 / 136 ] 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: [ 81 / 136 ] 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: [ 82 / 136 ] 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: [ 83 / 136 ] 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: [ 84 / 136 ] 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: [ 85 / 136 ] 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: [ 86 / 136 ] 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: [ 87 / 136 ] 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: [ 88 / 136 ] 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: [ 89 / 136 ] 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: [ 90 / 136 ] 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: [ 91 / 136 ] 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: [ 92 / 136 ] 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: [ 93 / 136 ] 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: [ 94 / 136 ] 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: [ 95 / 136 ] 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: [ 96 / 136 ] 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: [ 97 / 136 ] 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: [ 98 / 136 ] 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: [ 99 / 136 ] 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: [ 100 / 136 ] 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: [ 101 / 136 ] 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: [ 102 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 136 ] 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: [ 104 / 136 ] 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: [ 105 / 136 ] 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: [ 106 / 136 ] 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: [ 107 / 136 ] 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: [ 108 / 136 ] 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: [ 109 / 136 ] 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: [ 110 / 136 ] 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: [ 111 / 136 ] 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: [ 112 / 136 ] 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: [ 113 / 136 ] 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: [ 114 / 136 ] 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: [ 115 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* 1/192 f)) * [exit]simplify: Simplified to (expm1 (* 1/192 f)) * * * * [misc]progress: [ 116 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* 1/192 f)) * [exit]simplify: Simplified to (log1p (* 1/192 f)) * * * * [misc]progress: [ 117 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/192 f)) * [exit]simplify: Simplified to (log (* 1/192 f)) * * * * [misc]progress: [ 119 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/192 f)) * [exit]simplify: Simplified to (exp (* 1/192 f)) * * * * [misc]progress: [ 120 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f 1/192)) (cbrt (* f 1/192))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/192 f)) (cbrt (* 1/192 f))) * [exit]simplify: Simplified to (* (cbrt (* 1/192 f)) (cbrt (* 1/192 f))) * [enter]simplify: Simplifying (cbrt (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/192 f)) * [exit]simplify: Simplified to (cbrt (* 1/192 f)) * * * * [misc]progress: [ 121 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f 1/192) (* f 1/192)) (* f 1/192)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (pow (* 1/192 f) 3) * [exit]simplify: Simplified to (pow (* 1/192 f) 3) * * * * [misc]progress: [ 122 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/192 f)) * [exit]simplify: Simplified to (sqrt (* 1/192 f)) * [enter]simplify: Simplifying (sqrt (* f 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/192 f)) * [exit]simplify: Simplified to (sqrt (* 1/192 f)) * * * * [misc]progress: [ 123 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 126 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 127 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI))) * * * * [misc]progress: [ 128 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (* PI (fma (pow f 4) (* PI (* PI 7/5760)) (* (- 1/12) (* f f))))) * * * * [misc]progress: [ 129 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/80 (/ (* PI (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))) (+ (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)) (* 12 (/ (log (/ 1 f)) PI)))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (- (fma 384 (+ (/ (/ (pow (exp -1/4) (* f PI)) (* (pow PI 3) (* f f))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (/ (/ (pow (exp 1/4) (* f PI)) (* (pow PI 3) (* f f))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (fma (/ (* (* f (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) 1/80 (/ (* (* (* PI 1/80) (* f f)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (fma (/ (- (log f)) PI) 12 (/ (- (log (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) (/ PI 4)))) * * * * [misc]progress: [ 130 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/80 (/ (* PI (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 1/80 (/ (* PI (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))) (+ (* 4 (/ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)) (* 12 (/ (log (/ -1 f)) PI)))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ 1/80 (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (/ (pow (exp 5) (+ 0 (log f))) f) (/ (pow (exp 1/4) (* f PI)) (/ (* f f) PI))) (/ (* (/ (pow (exp -1/4) (* f PI)) (* (* PI PI) (* f PI))) (/ 384 f)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (fma (/ (* (/ (/ PI f) (* f f)) (pow (exp 5) (+ 0 (log f)))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow (exp -1/4) (* f PI)))) 1/80 (/ (* (/ (pow (exp 1/4) (* f PI)) (* (* PI PI) (* f PI))) (/ 384 f)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (fma (/ (- (log (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (- (* 3 (log PI)) (log -192))) PI) 4 (/ (log (/ -1 f)) (/ PI 12)))) * * * * [misc]progress: [ 131 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (pow (exp -1/4) (* f PI))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 132 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (pow (exp -1/4) (* f PI))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 133 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (pow (exp -1/4) (* f PI))) (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (/ PI (- 4))) * * * * [misc]progress: [ 134 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI (- 4))) * * * * [misc]progress: [ 135 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI (- 4))) * * * * [misc]progress: [ 136 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ 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 2 1 1 2 3 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2 3 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1 2 3 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2 3 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) 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 (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 4 PI)) (log f))) into (* 1/3 (- (log (/ 4 PI)) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) into (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) 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 (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 4 PI)) (log f))) into (* 1/3 (- (log (/ 4 PI)) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) into (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) into (exp (* 1/3 (- (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 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/192) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 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 (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 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 (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/192) (* 0 0)))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 1/192 (pow PI 2))))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 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) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/144 (pow PI 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/144 (pow PI 2)) 1) 1)))) into (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) into (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1/192) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 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 (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/144 (pow PI 2)) 1) 1)) (* (/ (pow 0 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)) (* 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/192) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [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 (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/69120 (pow PI 4))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/144 (pow PI 2)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/144 (pow PI 2)) 2) 2)) (* (/ (pow (- (* 7/69120 (pow PI 4))) 1) 1)))) into (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) into (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) (pow f 4)) (+ (* (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) (pow f 2)) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) into (- (+ (* 1/144 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))))) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))) (* 1/12960 (* (pow PI 4) (* (pow f 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) 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 (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) into (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) 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 (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) into (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))))) into (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)))) into (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) 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 (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5))))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (- (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)) (* (/ (pow (- (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)))) into (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (exp (* 1/3 (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))))) (pow (/ 1 f) 3)) (+ (* (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 32 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (exp (* 1/3 (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))))) (pow (/ 1 f) 2)) (exp (* 1/3 (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))))) into (- (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* -1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f)))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) 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 (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) into (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) 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 (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) into (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 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 0) (* 0 1/192)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))))) into (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)))) into (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) 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 (* 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 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) (+ (* 0 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))))) into (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)) (* (/ (pow (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1) 1)))) into (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) (+ (* 32 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (* 32 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))))) (pow (/ 1 (- f)) 2)) (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))))) into (- (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f))))))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f)))))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* PI f) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* PI f) 4) in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (- f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (- f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) 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 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 4 PI)) (log f))) into (* 1/3 (- (log (/ 4 PI)) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) into (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* PI f) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* PI f) 4) in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (- f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (- f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) 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 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 4 PI)) (log f))) into (* 1/3 (- (log (/ 4 PI)) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) into (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) into (exp (* 1/3 (- (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 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/192) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 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 (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/192) (* 0 0)))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 1/192 (pow PI 2))))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 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) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/144 (pow PI 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/144 (pow PI 2)) 1) 1)))) into (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) into (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1/192) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 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 (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/144 (pow PI 2)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/192) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) 1) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/69120 (pow PI 4))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 4 PI)) (log f)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/144 (pow PI 2)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/144 (pow PI 2)) 2) 2)) (* (/ (pow (- (* 7/69120 (pow PI 4))) 1) 1)))) into (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) into (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/12960 (* (pow PI 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) (pow f 4)) (+ (* (* 1/144 (* (pow PI 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) (pow f 2)) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))) into (- (+ (* 1/144 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))))) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))) (* 1/12960 (* (pow PI 4) (* (pow f 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* PI (/ 1 f)) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 f)) 4) in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* PI (/ 1 f)) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (- (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (- (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) 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 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) into (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* PI (/ 1 f)) 4)) (exp (* (/ PI 4) (- (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* PI (/ 1 f)) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 f)) 4) in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* PI (/ 1 f)) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (- (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (- (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) 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 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) into (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))))) into (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)))) into (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 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 (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5))))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (- (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)) (* (/ (pow (- (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)))) into (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) into (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (exp (* 1/3 (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 1/960 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 1/960 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (exp (* 1/3 (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))))) (pow (/ 1 f) 3)) (+ (* (* -1 (* (+ (* 32 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 32 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (exp (* 1/3 (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))))) (pow (/ 1 f) 2)) (exp (* 1/3 (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))))) into (- (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* -1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f)))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* PI (/ 1 (- f))) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (- f))) 4) in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* PI (/ 1 (- f))) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (- (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (- (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) 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 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) into (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* PI (/ 1 (- f))) 4)) (exp (* (/ PI 4) (- (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* PI (/ 1 (- f))) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (- f))) 4) in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* PI (/ 1 (- f))) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (- (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (- (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) 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 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) into (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 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 0) (* 0 1/192)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))))) into (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)))) into (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 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 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) (+ (* 0 (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (+ (* 0 0) (* 0 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))))) into (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (+ (* 32 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 32 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1) 1)) (* (/ (pow (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1) 1)))) into (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) (+ (* 1/960 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/960 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* -1 (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) (+ (* 32 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (* 32 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))))) (pow (/ 1 (- f)) 2)) (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))))) into (- (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f))))))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f)))))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 3 / 86 ] 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: [ 4 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 86 ] 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: [ 6 / 86 ] 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: [ 7 / 86 ] 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: [ 8 / 86 ] 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: [ 9 / 86 ] 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: [ 10 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 13 / 86 ] 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: [ 14 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 86 ] 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: [ 16 / 86 ] 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: [ 17 / 86 ] 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: [ 18 / 86 ] 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: [ 19 / 86 ] 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: [ 20 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (log1p (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (exp (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 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 (cbrt (* (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) * * [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 (cbrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) * * [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 (cbrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (cbrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (cbrt (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [exit]simplify: Simplified to (cbrt (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) * * [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 (cbrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (cbrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * [exit]simplify: Simplified to (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (cbrt (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))) * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (log1p (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (exp (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (/ 1 (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (/ 1 (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (cbrt (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (/ 1 (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (cbrt (/ (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))) * [exit]simplify: Simplified to (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))) * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (fma 2 (/ (- 4) PI) (/ (- 4) PI))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (fma 2 (/ (- 4) PI) (/ (- 4) PI))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (fma 2 (/ (- 4) PI) (/ (- 4) PI))) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (fma 2 (/ (- 4) PI) (/ (- 4) PI))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (fma 2 (/ (- 4) PI) (/ (- 4) PI))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (fma 2 (/ (- 4) PI) (/ (- 4) PI))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (- (+ (* 1/144 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))))) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))) (* 1/12960 (* (pow PI 4) (* (pow f 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (* (- 2) (/ 4 PI)) (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (* (log (fma (pow (exp 1/3) (- (log (/ 4 PI)) (log f))) (- (* 1/144 (* (* f PI) (* f PI))) (* (* 1/12960 (pow PI 4)) (pow f 4))) (pow (exp 1/3) (- (log (/ 4 PI)) (log f))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (- (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* -1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f)))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (fma (log (- (- (exp (fma 1/3 (- (log (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) (* (- (log f)) (* 1/3 3)))) (* (/ (exp (fma 1/3 (- (log (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) (* (- (log f)) (* 1/3 3)))) (* PI PI)) (* (/ (pow (exp 1/4) (* f PI)) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (* f f))) 32))) (fma 1/960 (+ (/ (exp (fma 1/3 (- (log (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) (* (- (log f)) (* 1/3 3)))) (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (* (* (* f f) (* PI PI)) (pow (exp -1/4) (* f PI))))) (/ (exp (fma 1/3 (- (log (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) (* (- (log f)) (* 1/3 3)))) (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (* (pow (exp 1/4) (* f PI)) (* (* f f) (* PI PI)))))) (* 32 (/ (exp (fma 1/3 (- (log (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) (* (- (log f)) (* 1/3 3)))) (* (/ (* (* f f) (* PI PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))))) (/ (- 4) PI) (* (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (* (- 2) (/ 4 PI)))) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (- (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f))))))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f)))))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3))))))))))) * * [misc]simplify: iters left: 6 (92 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (- (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3))))) (fma (/ (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3))))) (/ (* (* PI PI) (* f f)) (/ (pow (exp 1/4) (* f PI)) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 32 (/ (* (* 32 (pow (exp -1/4) (* f PI))) (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3)))))) (* (* (* PI PI) (* f f)) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (* (fma (/ (* PI PI) (pow f 3)) (/ (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3))))) (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (exp (fma (- (log -1) (log (/ -1 f))) 5 (* -1/4 (* f PI)))))) (* (/ (* PI PI) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (/ (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 3))))) (/ (pow f 3) (* (pow (exp 1/4) (* f PI)) (pow (exp 5) (- (log -1) (log (/ -1 f))))))))) 1/960))) (* (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (- 2) (/ 4 PI)))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (- (+ (* 1/144 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))))) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))) (* 1/12960 (* (pow PI 4) (* (pow f 4) (exp (* 1/3 (- (log (/ 4 PI)) (log f))))))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ (- 4) PI) (* (log (fma (pow (exp 1/3) (- (log (/ 4 PI)) (log f))) (- (* 1/144 (* (* PI f) (* PI f))) (* (pow PI 4) (* (pow f 4) 1/12960))) (pow (exp 1/3) (- (log (/ 4 PI)) (log f))))) (/ (- 4) (/ PI 2)))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (- (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (exp (* -1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 1/960 (/ (* (exp (* 1/3 (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f)))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (fma (log (- (- (exp (fma (- (log (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))) 1/3 (* (- (log f)) (* 1/3 3)))) (* (/ (* (pow (exp 1/4) (* PI f)) 32) (* (* f f) (* PI PI))) (/ (exp (fma (- (log (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))) 1/3 (* (- (log f)) (* 1/3 3)))) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))))) (fma 1/960 (+ (/ (exp (fma (- (log (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))) 1/3 (* (- (log f)) (* 1/3 3)))) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (* (pow (exp -1/4) (* PI f)) (* (* f f) (* PI PI))))) (/ (exp (fma (- (log (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))) 1/3 (* (- (log f)) (* 1/3 3)))) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (* (* (* f f) (* PI PI)) (pow (exp 1/4) (* PI f)))))) (/ (* (* 32 (pow (exp -1/4) (* PI f))) (exp (fma (- (log (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))) 1/3 (* (- (log f)) (* 1/3 3))))) (* (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (* (* f f) (* PI PI))))))) (* (/ 4 PI) (- 2)) (* (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (/ (- 4) PI))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (- (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (+ (* 32 (/ (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 32 (/ (* (exp (* -1/4 (* PI f))) (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f))))))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f)))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 1/960 (/ (* (pow PI 2) (* (exp (* 1/3 (+ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f)))))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3))))))))) (* (/ 4 PI) (- 2))) (* (- (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (92 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (fma (log (- (- (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (pow PI 3))))) (fma 32 (/ (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (pow PI 3))))) (/ (* (* (* PI PI) (* f f)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (pow (exp 1/4) (* PI f)))) (/ (* (* 32 (pow (exp -1/4) (* PI f))) (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (pow PI 3)))))) (* (* (* PI PI) (* f f)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))))) (* (fma (/ (* PI PI) (pow f 3)) (/ (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (pow PI 3))))) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (exp (fma 5 (+ (- (log -1) (log -1)) (log f)) (* (* -1/4 PI) f))))) (* (/ (* PI PI) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (/ (pow (exp 1/3) (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (pow PI 3))))) (/ (pow f 3) (* (pow (exp 1/4) (* PI f)) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))))))) 1/960))) (* (/ 4 PI) (- 2)) (* (/ (- 4) PI) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))))))) * * * [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 2 1 2 1 3 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 2 1 3 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 1 3 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 2 1 3 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2 2 1 3 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 2 1 1 3 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Rewrote expression to (pow (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log (* 1/2 PI)))) into (* 1/3 (+ (log f) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Rewrote expression to (pow (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* f f) (* f 1/192)) (* PI PI)) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* f f) (* f 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* f f) (* f 1/192)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/192) in f * [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 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/192)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/192) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log (* 1/2 PI)))) into (* 1/3 (+ (log f) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/192) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/192) (* 0 0)))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 1/192 (pow PI 2))))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/192 (pow PI 3))) 1)) (pow (* 1/2 PI) 1)))) 2) into (* 1/96 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/96 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/2 PI)))))) into (* 1/288 (pow PI 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/288 (pow PI 2)) 1) 1)))) into (* 1/288 (* (pow PI 2) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) * [misc]backup-simplify: Simplify (* 1/288 (* (pow PI 2) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) into (* 1/288 (* (pow PI 2) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1/192) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/192 (pow PI 3))) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/96 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/288 (pow PI 2)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/192) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [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 (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/192 (pow PI 3))) 1)) (pow (* 1/2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/192 (pow PI 3))) 2)) (pow (* 1/2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/61440 (pow PI 5))) 1)) (pow (* 1/2 PI) 1)))) 24) into (* -1/46080 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/46080 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/96 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/2 PI)))))))) into (- (* 1/138240 (pow PI 4))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/288 (pow PI 2)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/288 (pow PI 2)) 2) 2)) (* (/ (pow (- (* 1/138240 (pow PI 4))) 1) 1)))) into (* -1/829440 (* (pow PI 4) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) * [misc]backup-simplify: Simplify (* -1/829440 (* (pow PI 4) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) into (* -1/829440 (* (pow PI 4) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/829440 (* (pow PI 4) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) (pow f 4)) (+ (* (* 1/288 (* (pow PI 2) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) (pow f 2)) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))) into (- (+ (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) (* 1/288 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))))) (* 1/829440 (* (pow PI 4) (* (pow f 4) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Rewrote expression to (pow (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/192 (pow PI 3))) into (log (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/192 (pow PI 3)))) into (- (log (* 1/192 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))) into (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) into (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Rewrote expression to (pow (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* (/ 1 f) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/192 (pow PI 3))) into (log (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/192 (pow PI 3)))) into (- (log (* 1/192 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))) into (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) into (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) into (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/192 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/192 (pow PI 3)))) into (- (log (* 1/192 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/192 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 PI)) 1)) (pow (* 1/192 (pow PI 3)) 1)))) 2) into (/ 96 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/192 (pow PI 3)))) into (- (log (* 1/192 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 96 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))))) into (* 32 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 32 (/ 1 (pow PI 2))) 1) 1)))) into (* 32 (/ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) (pow PI 2))) * [misc]backup-simplify: Simplify (* 32 (/ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) (pow PI 2))) into (* 32 (/ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) 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 (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/192 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 PI)) 1)) (pow (* 1/192 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/61440 (/ (pow PI 5) (pow f 5)))) 1)) (pow (* 1/192 (pow PI 3)) 1)))) 6) into (* 1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/192 (pow PI 3)))) into (- (log (* 1/192 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/320 (/ (pow PI 2) (pow f 5)))) (+ (* 0 (/ 96 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))))) into (* 1/960 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 32 (/ 1 (pow PI 2))) 1) 1)) (* (/ (pow (* 1/960 (/ (pow PI 2) (pow f 5))) 1) 1)))) into (* 1/960 (/ (* (pow PI 2) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))))) (pow f 5))) * [misc]backup-simplify: Simplify (* 1/960 (/ (* (pow PI 2) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))))) (pow f 5))) into (* 1/960 (/ (* (pow PI 2) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log f)))))) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* (* 1/960 (/ (* (pow PI 2) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f))))))) (pow (/ 1 f) 5))) (pow (/ 1 f) 3)) (+ (* (* 32 (/ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f)))))) (pow PI 2))) (pow (/ 1 f) 2)) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f)))))))) into (+ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f)))))) (+ (* 1/960 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f))))))))) (* 32 (/ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f)))))) (* (pow PI 2) (pow f 2)))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Rewrote expression to (pow (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/192 (pow PI 3)))) into (log (- (* 1/192 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/192 (pow PI 3))))) into (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))) into (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Rewrote expression to (pow (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (fma PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) (* PI PI)) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- f)) 1/192)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/192) into -1/192 * [misc]backup-simplify: Simplify (* 1 -1/192) into -1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/192 (pow PI 2)) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/192 (pow PI 3)))) into (log (- (* 1/192 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/192 (pow PI 3))))) into (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))) into (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) into (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 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 0) (* 0 1/192)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/192 (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/192 (pow PI 3))))) into (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/192 (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 PI))) 1)) (pow (- (* 1/192 (pow PI 3))) 1)))) 2) into (/ 96 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/192 (pow PI 3))))) into (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 96 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))))) into (* 32 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 32 (/ 1 (pow PI 2))) 1) 1)))) into (* 32 (/ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) (pow PI 2))) * [misc]backup-simplify: Simplify (* 32 (/ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) (pow PI 2))) into (* 32 (/ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) 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 (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/192 (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 PI))) 1)) (pow (- (* 1/192 (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) 1)) (pow (- (* 1/192 (pow PI 3))) 1)))) 6) into (* -1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/192 (pow PI 3))))) into (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2)))) (+ (* 0 (/ 96 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))))) into (- (* 1/960 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 32 (/ 1 (pow PI 2))) 1) 1)) (* (/ (pow (- (* 1/960 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2)))) 1) 1)))) into (* -1/960 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))))))) * [misc]backup-simplify: Simplify (* -1/960 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))))))) into (* -1/960 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log f)))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/960 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* 32 (/ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) (pow PI 2))) (pow (/ 1 (- f)) 2)) (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ 1 (- f))))))))) into (+ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ -1 f)))))) (+ (* 32 (/ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (pow PI 2) (pow f 2)))) (* 1/960 (/ (* (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (pow f 3))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 3 / 55 ] 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: [ 4 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 55 ] 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: [ 6 / 55 ] 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: [ 7 / 55 ] 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: [ 8 / 55 ] 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: [ 9 / 55 ] 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: [ 10 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 13 / 55 ] 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: [ 14 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 55 ] 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: [ 16 / 55 ] 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: [ 17 / 55 ] 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: [ 18 / 55 ] 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: [ 19 / 55 ] 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: [ 20 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 23 / 55 ] 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: [ 24 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 55 ] 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: [ 26 / 55 ] 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: [ 27 / 55 ] 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: [ 28 / 55 ] 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: [ 29 / 55 ] 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: [ 30 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (expm1 (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log1p (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log1p (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (exp (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * [enter]simplify: Simplifying (cbrt (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [enter]simplify: Simplifying (cbrt (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (sqrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * [exit]simplify: Simplified to (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))) * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * [enter]simplify: Simplifying (cbrt (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))) * [exit]simplify: Simplified to (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))) * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (sqrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [enter]simplify: Simplifying (sqrt (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (sqrt (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (/ 4 PI)) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (+ (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))) (* 1/288 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))))) (* 1/829440 (* (pow PI 4) (* (pow f 4) (exp (* 1/3 (+ (log f) (log (* 1/2 PI))))))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (fma (log (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (/ 4 PI) (* (log (/ (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI)))) (- (fma (* PI (* 1/288 PI)) (* (cbrt (* 1/2 PI)) (* (* f f) (cbrt f))) (* (cbrt (* 1/2 PI)) (cbrt f))) (* (* (* 1/829440 (pow PI 4)) (* (cbrt f) (pow f 4))) (cbrt (* 1/2 PI)))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f)))))) (+ (* 1/960 (* (pow PI 2) (* (pow f 2) (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f))))))))) (* 32 (/ (exp (* 1/3 (- (log (* 1/192 (pow PI 3))) (* 3 (log (/ 1 f)))))) (* (pow PI 2) (pow f 2)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (fma (/ (pow (exp 1/3) (- (fma (log PI) 3 (log 1/192)) (* (- 3) (log f)))) (* f f)) (/ 32 (* PI PI)) (fma (* (* PI (* 1/960 PI)) (* f f)) (pow (exp 1/3) (- (fma (log PI) 3 (log 1/192)) (* (- 3) (log f)))) (pow (exp 1/3) (- (fma (log PI) 3 (log 1/192)) (* (- 3) (log f)))))))) (* (/ 4 PI) (log (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ 4 PI)) (log (/ 1 (* (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (+ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ -1 f)))))) (+ (* 32 (/ (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (pow PI 2) (pow f 2)))) (* 1/960 (/ (* (exp (* 1/3 (- (log (- (* 1/192 (pow PI 3)))) (* 3 (log (/ -1 f)))))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (pow f 3))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (fma 1/960 (/ (pow (exp 1/3) (- (+ (log (- 1/192)) (* 3 (log PI))) (* 3 (log (/ -1 f))))) (* (/ (* f f) (pow (exp 5) (+ 0 (log f)))) (/ f (* PI PI)))) (fma (/ (pow (exp 1/3) (- (+ (log (- 1/192)) (* 3 (log PI))) (* 3 (log (/ -1 f))))) (* (* PI PI) (* f f))) 32 (pow (exp 1/3) (- (+ (log (- 1/192)) (* 3 (log PI))) (* 3 (log (/ -1 f))))))))) (* (log (* (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma PI (fma (* (* f 1/192) (* f f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (/ 4 PI))) * * * [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 (+ (/ (log (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* 1/2 f)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ PI 4)) (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ 4 PI)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* f 1/192)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (* (/ 4 PI) (- 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- 2)) * [exit]simplify: Simplified to (* (/ 4 PI) (- 2))