* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 194 additional inputs, on iter 1 have 62 / 256 * * * * [misc]points: Computing exacts on every 12 of 194 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 194 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 194 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 194 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 144 additional inputs, on iter 2 have 112 / 256 * * * * [misc]points: Computing exacts on every 9 of 144 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 144 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 144 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 144 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 147 / 256 * * * * [misc]points: Computing exacts on every 6 of 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 109 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 79 additional inputs, on iter 4 have 177 / 256 * * * * [misc]points: Computing exacts on every 4 of 79 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 79 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 79 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 5 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 55 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 45 additional inputs, on iter 6 have 211 / 256 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 45 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 7 have 227 / 256 * * * * [misc]points: Computing exacts for 29 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 8 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 9 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 10 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 11 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 13 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (358 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) 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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 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)))) 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 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 (- (/ (* -1/48 (pow PI 2)) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 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)) (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 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 (- (/ (* 7/23040 (pow PI 4)) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))) * [misc]approximate: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 f)))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 f)))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 1/4 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]taylor: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 f)))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 1/4 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 (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) 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 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 (/ (log (tanh (* (/ PI 4) (/ 1 (- f))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 (- f))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4 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]taylor: Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 (- f))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4 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 (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) 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 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: [ 2 / 4 ] generating series at (2 1 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: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (log f) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (* -1/48 (pow PI 2)) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* 7/23040 (pow PI 4)) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (+ (* (* -1/48 (pow PI 2)) (pow f 2)) (+ (log f) (log (* 1/4 PI))))) into (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) into (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (tanh (* (/ PI 4) f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/7680 (pow PI 5)) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/7680 (pow PI 5)) (pow f 5)) (+ (* (- (* 1/192 (pow PI 3))) (pow f 3)) (* (* 1/4 PI) f))) into (- (+ (* 1/7680 (* (pow PI 5) (pow f 5))) (* 1/4 (* PI f))) (* 1/192 (* (pow PI 3) (pow f 3)))) * [misc]approximate: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (tanh (* (/ PI 4) (/ 1 (- f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 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: simplifying candidates * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log (tanh (* (/ PI 4) f)))) (log (/ PI 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (exp (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))) * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f)))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (pow (/ (log (tanh (* f (/ PI 4)))) (/ PI 4)) 3) * [misc]simplify: Simplified (2 1) to (λ (f) (cbrt (pow (/ (log (tanh (* f (/ PI 4)))) (/ PI 4)) 3))) * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (/ PI 4)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (/ (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (/ PI 4)) (/ (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ PI 4)))) * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (exp (* 2 (* (/ PI 4) f))) 1)) (/ PI 4)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (/ (log (expm1 (* (/ PI 4) (* f 2)))) (/ PI 4)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (/ (log (expm1 (* (/ PI 4) (* f 2)))) (/ PI 4)) (/ (log (+ (exp (* 2 (* (/ PI 4) f))) 1)) (/ PI 4)))) * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- 1 (exp (* -2 (* (/ PI 4) f))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (/ (log (- 1 (exp (* (/ PI 4) (* f -2))))) (/ PI 4)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (/ (log (- 1 (exp (* (/ PI 4) (* f -2))))) (/ PI 4)) (/ (log (+ 1 (exp (* -2 (* (/ PI 4) f))))) (/ PI 4)))) * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (/ f (/ 4 PI)))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 2) to (λ (f) (* 1 (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)))) * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (log (tanh (* (/ PI 4) f))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ 1 4)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (* (log (tanh (* (/ PI 4) f))) 4) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 PI) (* (log (tanh (* (/ PI 4) f))) 4))) * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) (pow (/ PI 4) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) (pow (/ PI 4) (+ 1/3 1/3))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) (pow (/ PI 4) (+ 1/3 1/3))) (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))) * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (tanh (/ PI (/ 4 f))))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (/ PI (/ 4 f))))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (* (cbrt (log (tanh (/ (* f PI) 4)))) (/ 4 PI)) * [misc]simplify: Simplified (2 2) to (λ (f) (* (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (* (cbrt (log (tanh (/ (* f PI) 4)))) (/ 4 PI)))) * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) PI) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) PI) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ 1 4)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (* 4 (cbrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) PI) (* 4 (cbrt (log (tanh (/ PI (/ 4 f)))))))) * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (tanh (* (/ PI 4) f))) (* (/ PI 4) (cbrt (/ PI 4))))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (tanh (/ PI (/ 4 f))))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (log (tanh (/ PI (/ 4 f))))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))) * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (sqrt (log (tanh (/ PI (/ 4 f))))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (log (tanh (/ PI (/ 4 f))))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (log (tanh (/ PI (/ 4 f))))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)))) * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) PI) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (tanh (/ f (/ 4 PI))))) PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (sqrt (log (tanh (/ f (/ 4 PI))))) PI) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ 1 4)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (log (tanh (/ (* f PI) 4))))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (sqrt (log (tanh (* (/ PI 4) f)))) PI) (* 4 (sqrt (log (tanh (/ (* f PI) 4))))))) * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (/ f (/ 4 PI)))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 2) to (λ (f) (* 1 (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)))) * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (log (tanh (* (/ PI 4) f))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ 1 4)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (* (log (tanh (* (/ PI 4) f))) 4) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 PI) (* (log (tanh (* (/ PI 4) f))) 4))) * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4)))) * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) (sqrt (/ PI 4)))) * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) 1) (/ PI 4))) * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 4) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) PI) (/ 1 4))) * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (pow (log (tanh (/ PI (/ 4 f)))) (+ 1/3 1/3)) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (sqrt (log (tanh (/ PI (/ 4 f))))) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (sqrt (log (tanh (/ PI (/ 4 f))))) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (log (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f)))) (/ PI 4))) * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (log (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))) (/ PI 4))) * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (log (tanh (/ (* f PI) 4))) (/ PI 4))) * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (log (sqrt (tanh (/ PI (/ 4 f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (+ (log (sqrt (tanh (/ PI (/ 4 f))))) (log (sqrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (+ (log 1) (log (tanh (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 63 / 98 ] 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 (217 enodes) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (- (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4))) * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* 2 (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (log (expm1 (* (/ PI 4) (* f 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (- (log (expm1 (* (/ PI 4) (* f 2)))) (log (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4))) * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 (exp (* -2 (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (* (* -2 f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (- (log (- 1 (exp (* (* -2 f) (/ PI 4))))) (log (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4))) * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (tanh (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (tanh (/ (* f PI) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (log (tanh (/ (* f PI) 4))) (/ PI 4))) * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * [exit]simplify: Simplified to (- (+ (+ (* 4 (/ (log f) PI)) (* (* 7/5760 (pow PI 3)) (pow f 4))) (/ (* 4 (log (* 1/4 PI))) PI)) (* (* 1/12 PI) (* f f))) * [misc]simplify: Simplified (2) to (λ (f) (- (+ (+ (* 4 (/ (log f) PI)) (* (* 7/5760 (pow PI 3)) (pow f 4))) (/ (* 4 (log (* 1/4 PI))) PI)) (* (* 1/12 PI) (* f f)))) * * * * [misc]progress: [ 88 / 98 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4)) * [misc]simplify: Simplified (2) to (λ (f) (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4))) * * * * [misc]progress: [ 89 / 98 ] 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 (349 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))))) (* (/ 1 PI) 4)) * [misc]simplify: Simplified (2) to (λ (f) (* (log (/ (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (* (/ 1 PI) 4))) * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4))) * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4))) * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4))) * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (454 enodes) * [exit]simplify: Simplified to (- (+ (* (pow (* PI f) 4) 7/23040) (log (* f (* 1/4 PI)))) (* 1/48 (* (* PI f) (* PI f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (- (+ (* (pow (* PI f) 4) 7/23040) (log (* f (* 1/4 PI)))) (* 1/48 (* (* PI f) (* PI f)))) (/ PI 4))) * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (12 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (log (tanh (* PI (* f 1/4)))) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (log (tanh (* PI (* f 1/4)))) (/ PI 4))) * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (13 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (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]simplify: Simplified (2 1) to (λ (f) (/ (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))))) (/ PI 4))) * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/7680 (* (pow PI 5) (pow f 5))) (* 1/4 (* PI f))) (* 1/192 (* (pow PI 3) (pow f 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (410 enodes) * [exit]simplify: Simplified to (- (fma 1/7680 (pow (* PI f) 5) (* (* 1/4 f) PI)) (* (pow (* PI f) 3) 1/192)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (log (- (fma 1/7680 (pow (* PI f) 5) (* (* 1/4 f) PI)) (* (pow (* PI f) 3) 1/192))) (/ PI 4))) * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (tanh (* PI (* f 1/4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (log (tanh (* PI (* f 1/4)))) (/ PI 4))) * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (/ (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))))) (/ PI 4))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/72 (pow PI 2))) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) * [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/34560 (pow PI 4)) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/72 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/34560 (pow PI 4)) 1) 1)))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (+ (* (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) (pow f 4)) (+ (* (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) (pow f 2)) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))))) * [misc]approximate: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) * [misc]backup-simplify: Simplify (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 2/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3) * [misc]approximate: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) * [misc]backup-simplify: Simplify (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 2/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) 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 (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) 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 (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/144 (pow PI 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) * [misc]backup-simplify: Simplify (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (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 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/69120 (pow PI 4)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (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 (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) * [misc]backup-simplify: Simplify (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) (pow f 4)) (+ (* (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) (pow f 2)) (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) 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 (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) 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 (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 1/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) 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 (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) 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 (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 1/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) in f * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) into (* 2/3 (+ (log f) (log (* 1/4 PI)))) * [misc]taylor: Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) 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 (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) into (* 1/3 (+ (log f) (log (* 1/4 PI)))) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (* 2/3 (+ (log f) (log (* 1/4 PI)))) (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]taylor: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) in f * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) into (* 2/3 (+ (log f) (log (* 1/4 PI)))) * [misc]taylor: Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) 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 (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) into (* 1/3 (+ (log f) (log (* 1/4 PI)))) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (* 2/3 (+ (log f) (log (* 1/4 PI)))) (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) 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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 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 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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 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)))) 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/72 (pow PI 2))) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* -1/72 (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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/144 (pow PI 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* -1/144 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/72 (pow PI 2)) (* -1/144 (pow PI 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 (- (/ (- (* 1/48 (pow PI 2))) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 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)) (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 6) 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 2/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/34560 (pow PI 4)) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/72 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/34560 (pow PI 4)) 1) 1)))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 2)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 7/34560 (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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/69120 (pow PI 4)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (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 (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 2)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 7/69120 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 7/34560 (pow PI 4)) (* 7/69120 (pow PI 4))) 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 (- (/ (* 7/23040 (pow PI 4)) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))) * [misc]approximate: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) in f * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) * [misc]taylor: Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) 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 (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))) into (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) * [misc]backup-simplify: Simplify (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) * [misc]taylor: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) in f * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) * [misc]taylor: Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) 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 (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))) into (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) * [misc]backup-simplify: Simplify (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) (/ 0 (* 1/4 PI))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 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 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 2/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) in f * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) * [misc]taylor: Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) 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 (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) into (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) * [misc]taylor: Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) in f * [misc]taylor: Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) * [misc]taylor: Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) 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 (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) into (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) (/ 0 (* 1/4 PI))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 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 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 1/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 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 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (tanh (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (tanh (/ (* f PI) 4)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (/ (* f PI) 4)) (* 1 (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) (cbrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (sqrt (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (sqrt (+ 1/3 1/3))) (sqrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) 1) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (tanh (* (/ PI 4) f)) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (cbrt (tanh (/ PI (/ 4 f)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (* (pow (tanh (* (/ PI 4) f)) 1/3) (cbrt (tanh (/ PI (/ 4 f)))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (+ 1/3 1/3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (* (pow (tanh (* (/ PI 4) f)) (* 1/3 (/ 0 0))) (pow (tanh (* (/ PI 4) f)) (* 1/3 (/ 0 0)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (* (* (pow (tanh (* (/ PI 4) f)) (* 1/3 (/ 0 0))) (pow (tanh (* (/ PI 4) f)) (* 1/3 (/ 0 0)))) (pow (cbrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (cbrt (tanh (/ (* f PI) 4))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (* (cbrt (tanh (/ (* f PI) 4))) (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (* 1 (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (pow (tanh (* (/ PI 4) f)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (pow (tanh (* (/ PI 4) f)) (* 1/2 1/3)) (cbrt (sqrt (tanh (* (/ PI 4) f))))))) (/ PI 4))) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* 1 (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))) * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ PI 4))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* (* 2 f) (/ PI 4)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (expm1 (* (* 2 f) (/ PI 4)))) (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))))) (/ PI 4))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (exp (* -2 (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (exp (* (/ PI 4) (* f -2))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- 1 (exp (* (/ PI 4) (* f -2))))) (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))))) (/ PI 4))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (log (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (exp (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))) * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (417 enodes) * [exit]simplify: Simplified to (pow (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) 3) * [misc]simplify: Simplified (2 1) to (λ (f) (cbrt (pow (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) 3))) * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (409 enodes) * [exit]simplify: Simplified to (/ (fma (/ 0 0) (log (tanh (* (/ PI 4) f))) (* 1/3 (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (/ (fma (/ 0 0) (log (tanh (* (/ PI 4) f))) (* 1/3 (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) (/ PI 4)) (/ (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4)))) * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1)))) (/ PI 4)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (424 enodes) * [exit]simplify: Simplified to (/ (fma (/ 0 0) (log (tanh (* (/ PI 4) f))) (* 1/3 (log (expm1 (* (/ PI 4) (* f 2)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (/ (fma (/ 0 0) (log (tanh (* (/ PI 4) f))) (* 1/3 (log (expm1 (* (/ PI 4) (* f 2)))))) (/ PI 4)) (/ (log (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4)))) * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- 1 (exp (* -2 (* (/ PI 4) f))))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (423 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (* (* (tanh (* (/ PI 4) f)) (tanh (* (/ PI 4) f))) (- 1 (exp (* (* -2 f) (/ PI 4))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (/ (log (cbrt (* (* (tanh (* (/ PI 4) f)) (tanh (* (/ PI 4) f))) (- 1 (exp (* (* -2 f) (/ PI 4))))))) (/ PI 4)) (/ (log (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4)))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (394 enodes) * [exit]simplify: Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (pow (/ PI 4) (/ 0 0))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (pow (/ PI 4) (/ 0 0))) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (350 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (pow (/ PI 4) (/ 0 0))) (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (sqrt (/ PI 4))) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3)) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (* (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3)) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4)))) * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) PI) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (352 enodes) * [exit]simplify: Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) PI) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (376 enodes) * [exit]simplify: Simplified to (* (cbrt (log (tanh (/ f (/ 4 PI))))) 4) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) PI) (* (cbrt (log (tanh (/ f (/ 4 PI))))) 4))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (* (/ PI 4) (cbrt (/ PI 4))))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (tanh (/ PI (/ 4 f))))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (log (tanh (/ PI (/ 4 f))))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4))) (sqrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4))))) * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (sqrt (log (tanh (/ PI (/ 4 f))))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (log (tanh (/ PI (/ 4 f))))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (336 enodes) * [exit]simplify: Simplified to (* (sqrt (log (tanh (/ f (/ 4 PI))))) (/ 4 PI)) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (log (tanh (/ PI (/ 4 f))))) (* (sqrt (log (tanh (/ f (/ 4 PI))))) (/ 4 PI)))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) PI) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (tanh (/ (* f PI) 4)))) PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (sqrt (log (tanh (/ (* f PI) 4)))) PI) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (379 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (sqrt (log (tanh (/ (* f PI) 4)))) PI) (* 4 (sqrt (log (tanh (/ PI (/ 4 f)))))))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (332 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (360 enodes) * [exit]simplify: Simplified to (* 4 (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 PI) (* 4 (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (332 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (360 enodes) * [exit]simplify: Simplified to (* 4 (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 PI) (* 4 (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (332 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4)))) * [enter]simplify: Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (360 enodes) * [exit]simplify: Simplified to (* 4 (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 PI) (* 4 (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) (pow (/ PI 4) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) (pow (/ PI 4) (+ 1/3 1/3))) (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) (pow (/ PI 4) (+ 1/3 1/3))) (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4))))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))) (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ PI 4) f))) * [misc]simplify: Simplified (2 1) to (λ (f) (* (log (tanh (* (/ PI 4) f))) (/ (+ (+ 1/3 1/3) 1/3) (/ PI 4)))) * [enter]simplify: Simplifying (/ (+ (+ 1/3 1/3) 1/3) (/ PI 4)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (+ (+ 1/3 1/3) 1/3) (/ 4 PI)) * [misc]simplify: Simplified (2 2) to (λ (f) (* (log (tanh (* (/ PI 4) f))) (* (+ (+ 1/3 1/3) 1/3) (/ 4 PI)))) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (tanh (* (/ PI 4) f))) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (log (tanh (* (/ PI 4) f))) PI) * [misc]simplify: Simplified (2 1) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) PI) (/ (+ (+ 1/3 1/3) 1/3) (/ 1 4)))) * [enter]simplify: Simplifying (/ (+ (+ 1/3 1/3) 1/3) (/ 1 4)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* 4 (+ (+ 1/3 1/3) 1/3)) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) PI) (* 4 (+ (+ 1/3 1/3) 1/3)))) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4)))) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) (sqrt (/ PI 4)))) * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ PI 4))) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 4) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) PI) (/ 1 4))) * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (/ (/ PI 4) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (sqrt (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ (/ PI 4) (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tanh (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ PI 4) f))) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (log (tanh (* (/ PI 4) f))) (/ (/ PI 4) (+ (+ 1/3 1/3) 1/3)))) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (fma (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0)) (* (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0)) (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0))) (pow (* 1/3 (log (tanh (/ PI (/ 4 f))))) 3)) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (fma (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0)) (* (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0)) (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0))) (pow (* 1/3 (log (tanh (/ PI (/ 4 f))))) 3)) (* (/ PI 4) (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (334 enodes) * [exit]simplify: Simplified to (* (log (tanh (/ (* f PI) 4))) (- (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4)))) (* 1/3 (log (tanh (/ (* f PI) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (f) (/ (* (log (tanh (/ (* f PI) 4))) (- (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4)))) (* 1/3 (log (tanh (/ (* f PI) 4)))))) (* (/ PI 4) (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))) * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f)))))) (/ PI 4))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))) (/ PI 4))) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (/ (* f PI) 4))))) (/ PI 4))) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * [exit]simplify: Simplified to (- (fma 31/103680 (* (* (pow PI 4) (pow f 4)) (pow (exp 2/3) (log (* f (* PI 1/4))))) (pow (exp 2/3) (log (* f (* PI 1/4))))) (* (* 1/72 (* PI PI)) (* (pow (exp 2/3) (log (* f (* PI 1/4)))) (* f f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (/ (+ (log (- (fma 31/103680 (* (* (pow PI 4) (pow f 4)) (pow (exp 2/3) (log (* f (* PI 1/4))))) (pow (exp 2/3) (log (* f (* PI 1/4))))) (* (* 1/72 (* PI PI)) (* (pow (exp 2/3) (log (* f (* PI 1/4)))) (* f f))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (pow (tanh (* PI (* f 1/4))) 2/3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* PI (* f 1/4))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (pow (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) 2/3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (/ (+ (log (pow (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * [exit]simplify: Simplified to (- (fma 13/103680 (* (pow (exp 1/3) (log (* f (* PI 1/4)))) (pow (* PI f) 4)) (pow (exp 1/3) (log (* f (* PI 1/4))))) (* (* 1/144 (pow (exp 1/3) (log (* f (* PI 1/4))))) (* (* PI PI) (* f f)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (- (fma 13/103680 (* (pow (exp 1/3) (log (* f (* PI 1/4)))) (pow (* PI f) 4)) (pow (exp 1/3) (log (* f (* PI 1/4))))) (* (* 1/144 (pow (exp 1/3) (log (* f (* PI 1/4))))) (* (* PI PI) (* f f)))))) (/ PI 4))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (cbrt (tanh (* PI (* f 1/4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* PI (* f 1/4)))))) (/ PI 4))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (/ PI 4))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * [exit]simplify: Simplified to (- (+ (+ (* 4 (/ (log f) PI)) (* (* 7/5760 (pow PI 3)) (pow f 4))) (/ (* 4 (log (* 1/4 PI))) PI)) (* (* 1/12 PI) (* f f))) * [misc]simplify: Simplified (2) to (λ (f) (- (+ (+ (* 4 (/ (log f) PI)) (* (* 7/5760 (pow PI 3)) (pow f 4))) (/ (* 4 (log (* 1/4 PI))) PI)) (* (* 1/12 PI) (* f f)))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (461 enodes) * [exit]simplify: Simplified to (* (* (log (tanh (* (* PI 1/4) f))) (+ 1/3 2/3)) (* (/ 1 PI) 4)) * [misc]simplify: Simplified (2) to (λ (f) (* (* (log (tanh (* (* PI 1/4) f))) (+ 1/3 2/3)) (* (/ 1 PI) 4))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (475 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))))) (+ 1/3 2/3)) (* (/ 1 PI) 4)) * [misc]simplify: Simplified (2) to (λ (f) (* (* (log (/ (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (+ 1/3 2/3)) (* (/ 1 PI) 4))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ PI 4))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ PI 4))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 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))) 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) * [misc]backup-simplify: Simplify (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) (pow f 4)) (+ (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (pow f 2)) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 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: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (log f) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (* -1/48 (pow PI 2)) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* 7/23040 (pow PI 4)) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (+ (* (* -1/48 (pow PI 2)) (pow f 2)) (+ (log f) (log (* 1/4 PI))))) into (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) into (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) f)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 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))) 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 (- (/ 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) * [misc]backup-simplify: Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* (- (* 1/12 PI)) (/ (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))))) into (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3)))))) into (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3)))))) (pow f 4)) (+ (* (- (* 1/12 PI)) (pow f 2)) (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log (* 1/4 PI)) PI)) (+ (* 7/5760 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 4 (/ (log f) PI)) (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/576 (/ (* (pow PI 3) (pow f 4)) (+ (log f) (log (* 1/4 PI)))))))))) (+ (* 1/576 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/12 (* PI (pow f 2))) (* 1/576 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 3))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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]taylor: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 (tanh (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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]taylor: Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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: simplifying candidates * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 4)) (log (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (exp (log (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))) * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 4) (/ PI 4)) (/ PI 4)) (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) (cbrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))))))) * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (/ PI (/ 4 f)))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (/ PI (/ 4 f)))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))))) * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))))) * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ PI (/ 4 f))))))))) * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))) * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))))) * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (* (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3)) (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (* (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3)) (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4)))))))) * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (pow (log (tanh (/ PI (/ 4 f)))) (- 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (log (tanh (/ PI (/ 4 f)))) (- 1/2)) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (sqrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (/ 1 (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ PI 4) (sqrt (log (tanh (/ PI (/ 4 f))))))))) * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (/ f (/ 4 PI)))))))) * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (/ PI (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))) (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (cbrt (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (/ PI (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))) (/ (/ 1 4) (cbrt (log (tanh (/ (* PI f) 4)))))))) * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (/ PI (/ 4 f)))))) (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f)))))))) * [enter]simplify: Simplifying (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (sqrt (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ 1 4) (sqrt (log (tanh (/ (* PI f) 4)))))))) * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (/ f (/ 4 PI)))))))) * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tanh (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ PI 4) f))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) 1) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (cbrt (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (cbrt (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (sqrt (log (tanh (/ PI (/ 4 f))))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))) (sqrt (log (tanh (/ PI (/ 4 f)))))))) * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tanh (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ PI 4) f))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) 1) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (/ (pow (/ PI 4) (+ 1/3 1/3)) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))) * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (/ (sqrt (/ PI 4)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))) * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f))))))) * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f))))))) * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))) * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (log (sqrt (tanh (/ PI (/ 4 f))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (+ (log (sqrt (tanh (/ PI (/ 4 f))))) (log (sqrt (tanh (* (/ PI 4) f)))))))) * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (+ (log 1) (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 60 / 120 ] 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 (217 enodes) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (- (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* 2 (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (log (expm1 (* (/ PI 4) (* f 2)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (- (log (expm1 (* (/ PI 4) (* f 2)))) (log (+ (exp (* 2 (* (/ PI 4) f))) 1)))))) * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 (exp (* -2 (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (* (* -2 f) (/ PI 4))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (- (log (- 1 (exp (* (* -2 f) (/ PI 4))))) (log (+ 1 (exp (* -2 (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (tanh (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (tanh (/ (* f PI) 4)) * [misc]simplify: Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2) to (λ (f) (pow (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) -1)) * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 4) (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (* (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) (cbrt (/ (/ PI 4) (log (tanh (/ PI (/ 4 f)))))))) * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))))) * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (cbrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))))) * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) 1)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))))) * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ PI (/ 4 f)))))))) * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))) (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) 1)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))))) * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 1)) (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))))) * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (sqrt (log (tanh (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (sqrt (log (tanh (/ PI (/ 4 f)))))))) * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 1)) (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI 1)) (/ (/ 1 4) (log (tanh (/ f (/ 4 PI))))))) * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (cbrt (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (/ 1 4) (cbrt (log (tanh (/ (* PI f) 4))))))) * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (sqrt (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (/ 1 4) (sqrt (log (tanh (/ (* PI f) 4))))))) * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI 1)) (/ (/ 1 4) (log (tanh (/ f (/ 4 PI))))))) * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 1) (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (log (tanh (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (/ 1 (log (tanh (/ (* PI f) 4)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI 4)) (/ 1 (log (tanh (/ (* PI f) 4)))))) * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tanh (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ PI 4) f))) * [misc]simplify: Simplified (2 2) to (λ (f) (* (/ 1 (/ PI 4)) (log (tanh (* (/ PI 4) f))))) * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * * [misc]simplify: iters left: 6 (33 enodes) * [exit]simplify: Simplified to (- (fma 1/192 (/ (* (pow PI 3) (* f f)) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))) (fma 1/9216 (/ (* (pow PI 5) (pow f 4)) (pow (log (* f (* 1/4 PI))) 3)) (/ (* 1/4 PI) (log (* f (* 1/4 PI)))))) (/ (* 7/92160 (* (pow PI 5) (pow f 4))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ 1 (- (fma 1/192 (/ (* (pow PI 3) (* f f)) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))) (fma 1/9216 (/ (* (pow PI 5) (pow f 4)) (pow (log (* f (* 1/4 PI))) 3)) (/ (* 1/4 PI) (log (* f (* 1/4 PI)))))) (/ (* 7/92160 (* (pow PI 5) (pow f 4))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI)))))))) * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (/ (* PI 1/4) (log (tanh (* f (* PI 1/4))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ 1 (/ (* PI 1/4) (log (tanh (* f (* PI 1/4))))))) * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ 1 (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (* PI 1/4))))))) * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (* PI 1/4))))))) * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* PI f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * [exit]simplify: Simplified to (* f (* PI 1/4)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (* PI 1/4))))))) * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (454 enodes) * [exit]simplify: Simplified to (- (+ (* (pow (* PI f) 4) 7/23040) (log (* f (* 1/4 PI)))) (* 1/48 (* (* PI f) (* PI f)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ PI 4) (- (+ (* (pow (* PI f) 4) 7/23040) (log (* f (* 1/4 PI)))) (* 1/48 (* (* PI f) (* PI f))))))) * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (12 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (log (tanh (* PI (* f 1/4)))) * [misc]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* PI (* f 1/4))))))) * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (13 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (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]simplify: Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ PI 4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (* 1/4 PI)) PI)) (+ (* 7/5760 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 4 (/ (log f) PI)) (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/576 (/ (* (pow PI 3) (pow f 4)) (+ (log f) (log (* 1/4 PI)))))))))) (+ (* 1/576 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/12 (* PI (pow f 2))) (* 1/576 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * [exit]simplify: Simplified to (- (fma 4 (/ (log (* PI 1/4)) PI) (+ (+ (/ (* 7/5760 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) (/ (* 7/5760 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4)))))) (fma 4 (/ (log f) PI) (fma 7/2880 (/ (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) (/ (* 1/576 (* (pow PI 3) (pow f 4))) (log (* f (* PI 1/4)))))))) (+ (+ (/ (* 1/576 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (pow (log (* f (* PI 1/4))) 3)) (/ (* 1/288 (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4))))) (pow (log (* f (* PI 1/4))) 3))) (fma 1/12 (* (* f f) PI) (/ (* 1/576 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (pow (log (* f (* PI 1/4))) 3))))) * [misc]simplify: Simplified (2) to (λ (f) (- (fma 4 (/ (log (* PI 1/4)) PI) (+ (+ (/ (* 7/5760 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) (/ (* 7/5760 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4)))))) (fma 4 (/ (log f) PI) (fma 7/2880 (/ (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) (/ (* 1/576 (* (pow PI 3) (pow f 4))) (log (* f (* PI 1/4)))))))) (+ (+ (/ (* 1/576 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (pow (log (* f (* PI 1/4))) 3)) (/ (* 1/288 (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4))))) (pow (log (* f (* PI 1/4))) 3))) (fma 1/12 (* (* f f) PI) (/ (* 1/576 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (pow (log (* f (* PI 1/4))) 3)))))) * * * * [misc]progress: [ 119 / 120 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4)) * [misc]simplify: Simplified (2) to (λ (f) (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4))) * * * * [misc]progress: [ 120 / 120 ] 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 (349 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))))) (* (/ 1 PI) 4)) * [misc]simplify: Simplified (2) to (λ (f) (* (log (/ (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (* (/ 1 PI) 4))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)) in f * [misc]taylor: Rewrote expression to (pow (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))) 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 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f 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]taylor: Taking taylor expansion of (log (tanh (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* f PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) (+ (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (* (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 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) * [misc]backup-simplify: Simplify (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) into (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) * [misc]backup-simplify: Simplify (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)) into (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) into (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) into (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)) in f * [misc]taylor: Rewrote expression to (pow (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))) 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 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f 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]taylor: Taking taylor expansion of (log (tanh (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* f PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) (+ (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (* (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 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) * [misc]backup-simplify: Simplify (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) into (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) * [misc]backup-simplify: Simplify (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)) into (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) into (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) into (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3) into (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))))) into (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)))) into (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4)))) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1)))) 2) into (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))))) into (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)))) into (* 1/48 (* (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)) (pow 1/64 1/3))) * [misc]backup-simplify: Simplify (* 1/48 (* (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)) (pow 1/64 1/3))) into (* 1/48 (* (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)) (pow 1/64 1/3))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4)))) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 (* (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 2)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2))))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 1/24 (- (+ (* 1/96 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/96 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 1/192 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/960 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/960 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/24 (- (+ (* 1/96 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/96 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 1/192 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/960 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/960 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))))) (+ (* 0 0) (+ (* 0 (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))))))) into (- (+ (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/1536 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 2) 2)) (* (/ (pow (- (+ (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/1536 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) 1) 1)))) into (* 1/64 (/ (* (pow PI 3) (- (+ (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/768 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))))) (+ (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4)))) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4)))) 2)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/64 (/ (* (pow PI 3) (- (+ (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/768 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))))) (+ (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) 1)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1)))) 24) into (* 1/24 (- (+ (* 1/32 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/32 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/320 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/64 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/320 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/24 (- (+ (* 1/32 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/32 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/320 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/64 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/320 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))))) (+ (* 0 0) (+ (* 0 (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))))))) into (- (+ (* 1/2304 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/2304 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/23040 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/4608 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/23040 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 2) 2)) (* (/ (pow (- (+ (* 1/2304 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/2304 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/23040 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/4608 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/23040 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) 1) 1)))) into (* (/ (* PI (- (+ (* 1/2304 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/2304 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/23040 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/23040 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (log f) (log (* 1/4 PI)))) (pow 1/64 1/3)) * [misc]backup-simplify: Simplify (* (/ (* PI (- (+ (* 1/2304 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/2304 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/23040 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/23040 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (log f) (log (* 1/4 PI)))) (pow 1/64 1/3)) into (* (/ (* PI (- (+ (* 1/2304 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/2304 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/23040 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/23040 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (log f) (log (* 1/4 PI)))) (pow 1/64 1/3)) * [misc]backup-simplify: Simplify (+ (* (* (/ (* PI (- (+ (* 1/2304 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/2304 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/23040 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/23040 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (log f) (log (* 1/4 PI)))) (pow 1/64 1/3)) (pow f 4)) (+ (* (* 1/48 (* (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)) (pow 1/64 1/3))) (pow f 2)) (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3))) into (- (+ (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3) (+ (* 1/48 (* (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2)) (pow 1/64 1/3))) (+ (* 1/2304 (* (/ (* (pow PI 5) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 4)) (pow 1/64 1/3))) (* 1/2304 (* (/ (* (log f) (* (pow PI 5) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 4)) (pow 1/64 1/3)))))) (+ (* 7/23040 (* (/ (* (pow PI 5) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3)) (pow 1/64 1/3))) (* 7/23040 (* (/ (* (log f) (* (pow PI 5) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3)) (pow 1/64 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)) in f * [misc]taylor: Rewrote expression to (pow (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3))) 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 (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) * [misc]backup-simplify: Simplify (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)) into (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))) into (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)) in f * [misc]taylor: Rewrote expression to (pow (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3))) 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 (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) * [misc]backup-simplify: Simplify (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)) into (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))) into (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1/3) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (* 1/4 (/ PI (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)))))))))) 3) 1/3) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)) in f * [misc]taylor: Rewrote expression to (pow (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3))) 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 (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) * [misc]backup-simplify: Simplify (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)) into (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))) into (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)) in f * [misc]taylor: Rewrote expression to (pow (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3))) 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 (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) * [misc]backup-simplify: Simplify (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)) into (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))) into (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1/3) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (* 1/4 (/ PI (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)))))))))) 3) 1/3) into (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) 3) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) in (f) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f 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]taylor: Taking taylor expansion of (log (tanh (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* f PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) (+ (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (* (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 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) * [misc]backup-simplify: Simplify (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) into (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f 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]taylor: Taking taylor expansion of (log (tanh (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* f PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) (+ (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (* (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 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) * [misc]backup-simplify: Simplify (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) into (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) * [misc]backup-simplify: Simplify (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) into (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))))) into (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)))) into (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4))) * [misc]backup-simplify: Simplify (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4))) into (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 (* (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))) 2)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2))))) 1)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 1/24 (- (+ (* 1/96 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/96 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 1/192 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/960 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/960 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/24 (- (+ (* 1/96 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/96 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 1/192 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/960 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/960 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))))) (+ (* 0 0) (+ (* 0 (* 1/48 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI)))))) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))))))) into (- (+ (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/1536 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/16 (/ (pow PI 2) (+ (log f) (log (* 1/4 PI))))) 2) 2)) (* (/ (pow (- (+ (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3)))) (+ (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/1536 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) 1) 1)))) into (* 1/64 (/ (* (pow PI 3) (- (+ (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/768 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))))) (+ (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) * [misc]backup-simplify: Simplify (* 1/64 (/ (* (pow PI 3) (- (+ (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/768 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))))) (+ (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) into (* 1/64 (/ (* (pow PI 3) (- (+ (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/768 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))))) (+ (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) * [misc]backup-simplify: Simplify (+ (* (* 1/64 (/ (* (pow PI 3) (- (+ (* 1/768 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/768 (/ (pow PI 4) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/768 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 3))))) (+ (* 7/7680 (/ (* (log f) (pow PI 4)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/7680 (/ (* (pow PI 4) (log (* 1/4 PI))) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (pow f 4)) (+ (* (* 1/1024 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 4))) (pow f 2)) (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3))) into (- (+ (* 1/64 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/1024 (/ (* (pow PI 5) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 4))) (+ (* 1/49152 (/ (* (pow PI 7) (pow f 4)) (pow (+ (log f) (log (* 1/4 PI))) 5))) (+ (* 1/49152 (/ (* (log f) (* (pow PI 7) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 6))) (* 1/49152 (/ (* (pow PI 7) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 6))))))) (+ (* 7/491520 (/ (* (pow PI 7) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 5))) (* 7/491520 (/ (* (log f) (* (pow PI 7) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 5))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) in (f) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) * [misc]backup-simplify: Simplify (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* 1/4 (/ PI (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)))))))))) 3) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) 3) * [misc]approximate: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) in (f) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) * [misc]taylor: Taking taylor expansion of (pow (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (log (* 1/4 (/ PI (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 (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (* 3 (log (* 1/4 (/ PI (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 (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) * [misc]backup-simplify: Simplify (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) into (pow (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (* 1/4 (/ PI (log (/ (- (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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (/ PI (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 (* (exp (* 3 (log (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* 1/4 (/ PI (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)))))))))) 3) into (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) 3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f 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]taylor: Taking taylor expansion of (log (tanh (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* f PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) (+ (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (* (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 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* f 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]taylor: Taking taylor expansion of (log (tanh (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* f PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) (+ (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (/ (* f PI) 4)) (exp (- (/ (* f PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (- (/ (* f PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* f PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* f PI) 4) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ PI 4) 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 (* (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 1) into 2 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI) * [misc]backup-simplify: Simplify (log (* 1/4 PI)) into (log (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (* (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 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) 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 (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) * [misc]backup-simplify: Simplify (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 (* (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI))) * [misc]backup-simplify: Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) (pow f 4)) (+ (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (pow f 2)) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) PI) 4)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (/ (/ PI 4) (log (tanh (/ (* (/ 1 f) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 f) PI) 4)) (exp (- (/ (* (/ 1 f) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 f) PI) 4)) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 f) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 f) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 f) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 f) PI) 4))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) PI) 4)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (/ (/ PI 4) (log (tanh (/ (* (/ 1 (- f)) 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]taylor: Taking taylor expansion of (log (tanh (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (tanh (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Rewrote expression to (/ (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4))))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ (* (/ 1 (- f)) PI) 4)) (exp (- (/ (* (/ 1 (- f)) PI) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (* (/ 1 (- f)) PI) 4)) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (/ (* (/ 1 (- f)) PI) 4))) in f * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- f)) PI) 4)) in f * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- f)) PI) 4) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (/ (* (/ 1 (- f)) PI) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) into (* 1/4 (/ PI (log (/ (- (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 2 1 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* f PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 PI))))))) 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 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI f) into (* PI f) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 f))) into (* PI f) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- f)))) into (* PI f) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1/3 1/3)) (cbrt (pow (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 8 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) (cbrt (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 9 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (cbrt (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 10 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* f (/ PI 4)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* f (/ PI 4)))) (+ 1/3 1/3))) (cbrt (pow (/ (cbrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 11 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) (cbrt (pow (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 12 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (cbrt (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 13 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (cbrt (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 14 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) (cbrt (pow (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 15 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4))))) (cbrt (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 16 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (cbrt (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 17 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 18 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (* (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (* (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3))) (cbrt (pow (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 19 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (pow (log (tanh (* (/ f 4) PI))) (- 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (log (tanh (* (/ f 4) PI))) (- 1/2)) (cbrt (pow (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 20 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 21 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 1) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* PI (cbrt (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 22 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (/ PI (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) (cbrt (pow (/ (/ 1 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 23 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (/ f (/ 4 PI)))))) (cbrt (pow (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 24 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 1) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* PI (cbrt (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 25 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 26 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 4) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI 4) (cbrt (pow (/ 1 (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 27 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (* 2 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (* 2 1/3)) (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))))) * * * * [misc]progress: [ 28 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)) (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))) (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (cbrt (* (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))) (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))))) (cbrt (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))))) * * * * [misc]progress: [ 29 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1/3 1/3)) (cbrt (pow (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 30 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) (cbrt (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 31 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (cbrt (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 32 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* f (/ PI 4)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* f (/ PI 4)))) (+ 1/3 1/3))) (cbrt (pow (/ (cbrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 33 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) (cbrt (pow (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 34 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (cbrt (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 35 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (cbrt (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 36 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) (cbrt (pow (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 37 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4))))) (cbrt (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 38 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ PI 4)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (cbrt (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 39 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 40 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (* (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (* (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3)) (pow (log (tanh (/ f (/ 4 PI)))) (- 1/3))) (cbrt (pow (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 41 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (pow (log (tanh (* (/ f 4) PI))) (- 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (log (tanh (* (/ f 4) PI))) (- 1/2)) (cbrt (pow (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 42 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 43 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 1) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* PI (cbrt (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 44 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (/ PI (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) (cbrt (pow (/ (/ 1 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 45 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI (sqrt (log (tanh (/ (* f PI) 4))))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (/ f (/ 4 PI)))))) (cbrt (pow (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 46 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 1) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* PI (cbrt (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 47 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 48 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 4) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI 4) (cbrt (pow (/ 1 (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 49 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (cbrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) (cbrt (* (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))))))) * * * * [misc]progress: [ 50 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) (cbrt (sqrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))))) * * * * [misc]progress: [ 51 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 52 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ PI 4) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (cbrt (pow (log (tanh (/ (* f PI) 4))) 3))))) * * * * [misc]progress: [ 53 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) * * * * [misc]progress: [ 56 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log (/ PI 4)) (log (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (* 3 (log (/ (/ PI 4) (log (tanh (/ (* PI f) 4)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (exp (* 3 (log (/ (/ PI 4) (log (tanh (/ (* PI f) 4)))))))))) * * * * [misc]progress: [ 61 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (* 3 (log (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (exp (* 3 (log (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))))))))) * * * * [misc]progress: [ 62 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (* 1 3))))) * * * * [misc]progress: [ 64 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) (pow (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 65 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1 1/2)) (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 66 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ PI 4) (/ PI 4)) (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 67 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 4) (/ PI 4)) (* (log (tanh (* f (/ PI 4)))) (log (tanh (* f (/ PI 4)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (* (/ PI 4) (/ PI 4)) (* (log (tanh (* f (/ PI 4)))) (log (tanh (* f (/ PI 4)))))) (pow (/ (cbrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 68 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 4) (/ PI 4)) (pow (log (tanh (* f (/ PI 4)))) (* 1/2 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (* (/ PI 4) (/ PI 4)) (pow (log (tanh (* f (/ PI 4)))) (* 1/2 3))) (pow (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 69 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ PI 4) (/ PI 4)) (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 70 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) 1) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/2 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ PI 4) (+ 1/2 1)) (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 71 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1 1/2)) (* (log (tanh (/ (* PI f) 4))) (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow (/ PI 4) (+ 1 1/2)) (* (log (tanh (/ (* PI f) 4))) (log (tanh (/ (* PI f) 4))))) (pow (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 72 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1 1/2)) (pow (log (tanh (/ (* PI f) 4))) (* 1/2 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow (/ PI 4) (+ 1 1/2)) (pow (log (tanh (/ (* PI f) 4))) (* 1/2 3))) (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 73 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) 1) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/2 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ PI 4) (+ 1/2 1)) (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 74 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 1) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* 1 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 75 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ 1 (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ 1 (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) (pow (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 76 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (/ (/ 1 (log (tanh (/ f (/ 4 PI))))) (sqrt (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (/ 1 (log (tanh (/ f (/ 4 PI))))) (sqrt (log (tanh (/ f (/ 4 PI)))))) (pow (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 77 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 1) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* 1 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 78 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 1) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow PI 3) (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 79 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (pow PI 3) (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow PI 3) (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) (pow (/ (/ 1 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 80 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (/ (pow PI 3) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1 1/2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow PI 3) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1 1/2))) (pow (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 81 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 1) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow PI 3) (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 82 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* 1 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 83 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 4) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ PI 4) 3) (pow (/ 1 (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 84 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) (pow (cbrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 91 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) (+ 1 1/2)) (pow (sqrt (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 92 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ PI 4) (/ PI 4)) (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 93 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 4) (/ PI 4)) (* (log (tanh (* f (/ PI 4)))) (log (tanh (* f (/ PI 4)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (* (/ PI 4) (/ PI 4)) (* (log (tanh (* f (/ PI 4)))) (log (tanh (* f (/ PI 4)))))) (pow (/ (cbrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 94 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 4) (/ PI 4)) (pow (log (tanh (* f (/ PI 4)))) (* 1/2 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (* (/ PI 4) (/ PI 4)) (pow (log (tanh (* f (/ PI 4)))) (* 1/2 3))) (pow (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 95 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (* (/ PI 4) (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ PI 4) (/ PI 4)) (pow (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 96 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) 1) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/2 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ PI 4) (+ 1/2 1)) (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 97 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1 1/2)) (* (log (tanh (/ (* PI f) 4))) (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow (/ PI 4) (+ 1 1/2)) (* (log (tanh (/ (* PI f) 4))) (log (tanh (/ (* PI f) 4))))) (pow (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 98 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1 1/2)) (pow (log (tanh (/ (* PI f) 4))) (* 1/2 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow (/ PI 4) (+ 1 1/2)) (pow (log (tanh (/ (* PI f) 4))) (* 1/2 3))) (pow (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 99 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ PI 4)) 1) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/2 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ PI 4) (+ 1/2 1)) (pow (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 100 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 1) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* 1 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 101 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ 1 (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ 1 (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) (pow (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 102 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (/ (/ 1 (log (tanh (/ f (/ 4 PI))))) (sqrt (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (/ 1 (log (tanh (/ f (/ 4 PI))))) (sqrt (log (tanh (/ f (/ 4 PI)))))) (pow (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 103 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 1) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* 1 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 104 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 1) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow PI 3) (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 105 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (pow PI 3) (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow PI 3) (* (log (tanh (* (/ f 4) PI))) (log (tanh (* (/ f 4) PI))))) (pow (/ (/ 1 4) (cbrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 106 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI (sqrt (log (tanh (/ (* f PI) 4))))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (/ (pow PI 3) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1 1/2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (/ (pow PI 3) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1 1/2))) (pow (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4))))) 3))))) * * * * [misc]progress: [ 107 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 1) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow PI 3) (pow (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 108 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* 1 (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 109 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 4) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (pow (/ PI 4) 3) (pow (/ 1 (log (tanh (/ (* f PI) 4)))) 3))))) * * * * [misc]progress: [ 110 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI 4) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (/ (pow (/ PI 4) 3) (pow (log (tanh (/ (* f PI) 4))) 3))))) * * * * [misc]progress: [ 111 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 4) (/ PI 4)) (/ PI 4)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (/ (pow (/ PI 4) 3) (* (* (log (tanh (/ (* f PI) 4))) (log (tanh (/ (* f PI) 4)))) (log (tanh (/ (* f PI) 4)))))))) * * * * [misc]progress: [ 113 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))) (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (* (* (/ (/ PI 4) (log (tanh (* (/ f 4) PI)))) (/ (/ PI 4) (log (tanh (* (/ f 4) PI))))) (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))))))) * * * * [misc]progress: [ 114 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 4)) (log (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (exp (log (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))))) 3)))) * * * * [misc]progress: [ 120 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 4) (/ PI 4)) (/ PI 4)) (* (* (log (tanh (/ (* f PI) 4))) (log (tanh (/ (* f PI) 4)))) (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 4) (log (tanh (* f (/ PI 4))))) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (cbrt (pow (/ (/ PI 4) (log (tanh (* f (/ PI 4))))) 3)) 3)))) * * * * [misc]progress: [ 123 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ f 4) PI)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ f 4) PI))))) 3)))) * * * * [misc]progress: [ 128 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* (/ f 4) PI))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* (/ f 4) PI))) (+ 1/3 1/3))) (/ (cbrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (* (/ f 4) PI))) (+ 1/3 1/3))) (cbrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))))) 3)))) * * * * [misc]progress: [ 129 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* PI f) 4))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ f 4) PI))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ (* PI f) 4)))))) 3)))) * * * * [misc]progress: [ 130 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ f 4) PI)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ f 4) PI))))) 3)))) * * * * [misc]progress: [ 131 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))) 3)))) * * * * [misc]progress: [ 132 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (/ (sqrt (/ PI 4)) (pow (log (tanh (/ (* PI f) 4))) (+ 1/3 1/3))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ f 4) PI)))))) 3)))) * * * * [misc]progress: [ 133 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))))) 3)))) * * * * [misc]progress: [ 134 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 4)) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))) 3)))) * * * * [misc]progress: [ 135 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* 1 (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* 1 (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) 3)))) * * * * [misc]progress: [ 136 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (* (pow (log (tanh (* (/ f 4) PI))) (- 1/3)) (pow (log (tanh (* (/ f 4) PI))) (- 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (* (pow (log (tanh (* (/ f 4) PI))) (- 1/3)) (pow (log (tanh (* (/ f 4) PI))) (- 1/3))) (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (/ PI 4) (cbrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (cbrt (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (/ 1 (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) (/ (/ PI 4) (cbrt (log (tanh (/ f (/ 4 PI))))))) 3)))) * * * * [misc]progress: [ 137 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (pow (log (tanh (* (/ f 4) PI))) (- 1/2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (pow (log (tanh (* (/ f 4) PI))) (- 1/2)) (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (sqrt (log (tanh (/ f (/ 4 PI)))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (/ 1 (sqrt (log (tanh (/ (* f PI) 4))))) (/ (/ PI 4) (sqrt (log (tanh (/ f (/ 4 PI))))))) 3)))) * * * * [misc]progress: [ 138 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* 1 (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* 1 (/ (/ PI 4) (log (tanh (/ f (/ 4 PI)))))) 3)))) * * * * [misc]progress: [ 139 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* PI (/ (/ 1 4) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* PI (/ (/ 1 4) (log (tanh (/ (* f PI) 4))))) 3)))) * * * * [misc]progress: [ 140 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (/ PI (pow (log (tanh (* (/ f 4) PI))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (/ PI (pow (log (tanh (* (/ f 4) PI))) (+ 1/3 1/3))) (/ (/ 1 4) (cbrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (/ 1 4) (cbrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (cbrt (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (/ PI (pow (log (tanh (* (/ f 4) PI))) (+ 1/3 1/3))) (/ (/ 1 4) (cbrt (log (tanh (* (/ f 4) PI)))))) 3)))) * * * * [misc]progress: [ 141 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (log (tanh (* (/ f 4) PI))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* (/ PI (sqrt (log (tanh (* (/ f 4) PI))))) (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4)))))) 3)))) * [enter]simplify: Simplifying (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* (/ PI (sqrt (log (tanh (/ (* f PI) 4))))) (/ (/ 1 4) (sqrt (log (tanh (/ (* f PI) 4)))))) 3)))) * * * * [misc]progress: [ 142 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (* PI (/ (/ 1 4) (log (tanh (/ (* f PI) 4))))) 3)))) * [enter]simplify: Simplifying (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (log (tanh (/ (* f PI) 4)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (* PI (/ (/ 1 4) (log (tanh (/ (* f PI) 4))))) 3)))) * * * * [misc]progress: [ 143 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tanh (/ (* f PI) 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ f 4) PI))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (/ (/ (/ PI 4) 1) (log (tanh (* (/ f 4) PI)))) 3)))) * * * * [misc]progress: [ 147 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (cbrt (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (/ (/ (/ PI 4) (* (cbrt (log (tanh (/ (* f PI) 4)))) (cbrt (log (tanh (/ (* f PI) 4)))))) (cbrt (log (tanh (/ f (/ 4 PI)))))) 3)))) * * * * [misc]progress: [ 148 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (tanh (/ (* f PI) 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (sqrt (log (tanh (/ f (/ 4 PI))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (/ (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))) (sqrt (log (tanh (/ f (/ 4 PI)))))) 3)))) * * * * [misc]progress: [ 149 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tanh (/ (* f PI) 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (log (tanh (* (/ f 4) PI))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f) (/ 1 (cbrt (pow (/ (/ (/ PI 4) 1) (log (tanh (* (/ f 4) PI)))) 3)))) * * * * [misc]progress: [ 150 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * [exit]simplify: Simplified to (pow (/ PI 4) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (pow (/ PI 4) (+ 1/3 1/3)) (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))) 3)))) * * * * [misc]progress: [ 151 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (sqrt (/ PI 4)) (/ (log (tanh (/ (* f PI) 4))) (sqrt (/ PI 4)))) 3)))) * * * * [misc]progress: [ 152 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 154 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 155 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 164 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) 3) 1/3) (+ (* 1/48 (* (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2)) (pow 1/64 1/3))) (+ (* 1/2304 (* (/ (* (pow PI 5) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 4)) (pow 1/64 1/3))) (* 1/2304 (* (/ (* (log f) (* (pow PI 5) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 4)) (pow 1/64 1/3)))))) (+ (* 7/23040 (* (/ (* (pow PI 5) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3)) (pow 1/64 1/3))) (* 7/23040 (* (/ (* (log f) (* (pow PI 5) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3)) (pow 1/64 1/3))))) * * [misc]simplify: iters left: 6 (53 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* PI 1/4) (log (* f (* PI 1/4)))) (* (/ (* (* (pow PI 3) (* f f)) (cbrt 1/64)) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) 1/48)) (* 1/2304 (+ (/ (* (* (* (pow f 4) (pow PI 5)) (log (* PI 1/4))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 4)) (/ (* (* (log f) (* (pow f 4) (pow PI 5))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 4))))) (* 7/23040 (+ (/ (* (* (* (pow f 4) (pow PI 5)) (log (* PI 1/4))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 3)) (/ (* (* (log f) (* (pow f 4) (pow PI 5))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 3))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ 1 (- (+ (+ (/ (* PI 1/4) (log (* f (* PI 1/4)))) (* (/ (* (* (pow PI 3) (* f f)) (cbrt 1/64)) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) 1/48)) (* 1/2304 (+ (/ (* (* (* (pow f 4) (pow PI 5)) (log (* PI 1/4))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 4)) (/ (* (* (log f) (* (pow f 4) (pow PI 5))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 4))))) (* 7/23040 (+ (/ (* (* (* (pow f 4) (pow PI 5)) (log (* PI 1/4))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 3)) (/ (* (* (log f) (* (pow f 4) (pow PI 5))) (cbrt 1/64)) (pow (log (* f (* PI 1/4))) 3))))))) * * * * [misc]progress: [ 166 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) 3) 1/3) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (393 enodes) * [exit]simplify: Simplified to (/ (* PI 1/4) (log (tanh (* (* 1/4 f) PI)))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ 1 (/ (* PI 1/4) (log (tanh (* (* 1/4 f) PI)))))) * * * * [misc]progress: [ 167 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) 3) 1/3) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (407 enodes) * [exit]simplify: Simplified to (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * [misc]simplify: Simplified (2 2) to (λ (f) (/ 1 (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) * * * * [misc]progress: [ 168 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/64 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/1024 (/ (* (pow PI 5) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 4))) (+ (* 1/49152 (/ (* (pow PI 7) (pow f 4)) (pow (+ (log f) (log (* 1/4 PI))) 5))) (+ (* 1/49152 (/ (* (log f) (* (pow PI 7) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 6))) (* 1/49152 (/ (* (pow PI 7) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 6))))))) (+ (* 7/491520 (/ (* (pow PI 7) (* (pow f 4) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 5))) (* 7/491520 (/ (* (log f) (* (pow PI 7) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 5))))) * * [misc]simplify: iters left: 6 (51 enodes) * [exit]simplify: Simplified to (- (fma 1/64 (/ (pow PI 3) (pow (log (* f (* 1/4 PI))) 3)) (+ (+ (/ (* 1/1024 (* (pow PI 5) (* f f))) (pow (log (* f (* 1/4 PI))) 4)) (/ (* 1/49152 (* (pow f 4) (pow PI 7))) (pow (log (* f (* 1/4 PI))) 5))) (fma 1/49152 (/ (* (* (log f) (pow PI 7)) (pow f 4)) (pow (log (* f (* 1/4 PI))) 6)) (/ (* 1/49152 (* (* (pow f 4) (pow PI 7)) (log (* 1/4 PI)))) (pow (log (* f (* 1/4 PI))) 6))))) (fma 7/491520 (/ (* (* (pow f 4) (pow PI 7)) (log (* 1/4 PI))) (pow (log (* f (* 1/4 PI))) 5)) (/ (* 7/491520 (* (* (log f) (pow PI 7)) (pow f 4))) (pow (log (* f (* 1/4 PI))) 5)))) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (cbrt (- (fma 1/64 (/ (pow PI 3) (pow (log (* f (* 1/4 PI))) 3)) (+ (+ (/ (* 1/1024 (* (pow PI 5) (* f f))) (pow (log (* f (* 1/4 PI))) 4)) (/ (* 1/49152 (* (pow f 4) (pow PI 7))) (pow (log (* f (* 1/4 PI))) 5))) (fma 1/49152 (/ (* (* (log f) (pow PI 7)) (pow f 4)) (pow (log (* f (* 1/4 PI))) 6)) (/ (* 1/49152 (* (* (pow f 4) (pow PI 7)) (log (* 1/4 PI)))) (pow (log (* f (* 1/4 PI))) 6))))) (fma 7/491520 (/ (* (* (pow f 4) (pow PI 7)) (log (* 1/4 PI))) (pow (log (* f (* 1/4 PI))) 5)) (/ (* 7/491520 (* (* (log f) (pow PI 7)) (pow f 4))) (pow (log (* f (* 1/4 PI))) 5))))))) * * * * [misc]progress: [ 169 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) 3) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (pow (/ (* PI 1/4) (log (tanh (* f (* PI 1/4))))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (cbrt (pow (/ (* PI 1/4) (log (tanh (* f (* PI 1/4))))) 3)))) * * * * [misc]progress: [ 170 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) 3) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (371 enodes) * [exit]simplify: Simplified to (pow (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (f) (/ 1 (cbrt (pow (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 3)))) * * * * [misc]progress: [ 171 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2)))) * * [misc]simplify: iters left: 6 (33 enodes) * [exit]simplify: Simplified to (- (fma 1/192 (/ (* (pow PI 3) (* f f)) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))) (fma 1/9216 (/ (* (pow PI 5) (pow f 4)) (pow (log (* f (* 1/4 PI))) 3)) (/ (* 1/4 PI) (log (* f (* 1/4 PI)))))) (/ (* 7/92160 (* (pow PI 5) (pow f 4))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (pow (- (fma 1/192 (/ (* (pow PI 3) (* f f)) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))) (fma 1/9216 (/ (* (pow PI 5) (pow f 4)) (pow (log (* f (* 1/4 PI))) 3)) (/ (* 1/4 PI) (log (* f (* 1/4 PI)))))) (/ (* 7/92160 (* (pow PI 5) (pow f 4))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI)))))) 3)))) * * * * [misc]progress: [ 172 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (/ (* PI 1/4) (log (tanh (* f (* PI 1/4))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (* PI 1/4) (log (tanh (* f (* PI 1/4))))) 3)))) * * * * [misc]progress: [ 173 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) 3)))) * * * * [misc]progress: [ 174 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) * * * * [misc]progress: [ 175 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) * * * * [misc]progress: [ 176 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (f) (/ 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ (* f PI) 4)))) 3)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5932 additional inputs, on iter 1 have 2068 / 8000 * * * * [misc]points: Computing exacts on every 370 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 185 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 92 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 46 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 23 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 11 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 5932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 5932 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4452 additional inputs, on iter 2 have 3548 / 8000 * * * * [misc]points: Computing exacts on every 278 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 139 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 69 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 34 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 17 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 4452 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4452 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3318 additional inputs, on iter 3 have 4682 / 8000 * * * * [misc]points: Computing exacts on every 207 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 103 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 51 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 25 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 12 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 3318 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3318 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2487 additional inputs, on iter 4 have 5513 / 8000 * * * * [misc]points: Computing exacts on every 155 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 77 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 38 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 19 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 2487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2487 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1833 additional inputs, on iter 5 have 6167 / 8000 * * * * [misc]points: Computing exacts on every 114 of 1833 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 57 of 1833 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 28 of 1833 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 14 of 1833 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1833 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1833 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1833 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1369 additional inputs, on iter 6 have 6631 / 8000 * * * * [misc]points: Computing exacts on every 85 of 1369 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 42 of 1369 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 21 of 1369 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 10 of 1369 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 1369 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1369 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1369 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1029 additional inputs, on iter 7 have 6971 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 32 of 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1029 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 771 additional inputs, on iter 8 have 7229 / 8000 * * * * [misc]points: Computing exacts on every 48 of 771 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 24 of 771 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 12 of 771 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 771 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 771 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 771 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 552 additional inputs, on iter 9 have 7448 / 8000 * * * * [misc]points: Computing exacts on every 34 of 552 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 17 of 552 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 552 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 552 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 552 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 552 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 401 additional inputs, on iter 10 have 7599 / 8000 * * * * [misc]points: Computing exacts on every 25 of 401 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 12 of 401 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 401 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 401 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 401 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 308 additional inputs, on iter 11 have 7692 / 8000 * * * * [misc]points: Computing exacts on every 19 of 308 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 308 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 308 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 308 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 308 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 236 additional inputs, on iter 12 have 7764 / 8000 * * * * [misc]points: Computing exacts on every 14 of 236 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 236 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 236 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 236 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 177 additional inputs, on iter 13 have 7823 / 8000 * * * * [misc]points: Computing exacts on every 11 of 177 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 177 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 177 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 177 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 133 additional inputs, on iter 14 have 7867 / 8000 * * * * [misc]points: Computing exacts on every 8 of 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 133 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 95 additional inputs, on iter 15 have 7905 / 8000 * * * * [misc]points: Computing exacts on every 5 of 95 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 95 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 95 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 72 additional inputs, on iter 16 have 7928 / 8000 * * * * [misc]points: Computing exacts on every 4 of 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 72 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 51 additional inputs, on iter 17 have 7949 / 8000 * * * * [misc]points: Computing exacts on every 3 of 51 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 51 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 32 additional inputs, on iter 18 have 7968 / 8000 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 19 have 7977 / 8000 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 20 have 7982 / 8000 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 21 have 7984 / 8000 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 22 have 7990 / 8000 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 23 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 24 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs