* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [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 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 197 additional inputs, on iter 1 have 59 / 256 * * * * [misc]points: Computing exacts on every 12 of 197 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 197 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 197 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 197 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 149 additional inputs, on iter 2 have 107 / 256 * * * * [misc]points: Computing exacts on every 9 of 149 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 149 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 149 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 149 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 106 additional inputs, on iter 3 have 150 / 256 * * * * [misc]points: Computing exacts on every 6 of 106 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 106 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 106 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 86 additional inputs, on iter 4 have 170 / 256 * * * * [misc]points: Computing exacts on every 5 of 86 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 86 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 86 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 66 additional inputs, on iter 5 have 190 / 256 * * * * [misc]points: Computing exacts on every 4 of 66 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 66 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 66 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 46 additional inputs, on iter 6 have 210 / 256 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 46 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 35 additional inputs, on iter 7 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 35 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 19 additional inputs, on iter 9 have 237 / 256 * * * * [misc]points: Computing exacts for 19 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 10 additional inputs, on iter 11 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 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 5 additional inputs, on iter 14 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 5 additional inputs, on iter 15 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 16 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 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 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 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/192 (* (pow f 3) (pow PI 3))) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* f PI)))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) into (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) into (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 4 (/ 1 (* PI f))) (* 1/12 (* f PI))) (* 1/2880 (* (pow f 3) (pow PI 3)))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) into (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) into (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) f) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) f) into (* 1/4 (* f PI)) * [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 (* f PI)) * [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 (* f PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 7 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 10 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (expm1 (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (expm1 (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 11 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log1p (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (log1p (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 12 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 13 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 14 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 15 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 16 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 18 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 19 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 20 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (pow (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) 3) * [exit]simplify: Simplified to (pow (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) 3) * * * * [misc]progress: [ 21 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 22 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [enter]simplify: Simplifying (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * [exit]simplify: Simplified to (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * * * * [misc]progress: [ 23 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 24 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))) * [enter]simplify: Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) * [exit]simplify: Simplified to (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) * * * * [misc]progress: [ 26 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))) * [enter]simplify: Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 27 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 28 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 29 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 30 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 31 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (- (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 33 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 34 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 35 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) 3) * * * * [misc]progress: [ 36 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 37 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * * * * [misc]progress: [ 38 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 39 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (- (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (- (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) * * * * [misc]progress: [ 40 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 41 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 42 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 43 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 44 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 45 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 46 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 47 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 48 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 49 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 50 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 51 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 52 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 53 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 54 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 55 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 56 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 57 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 58 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 59 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 60 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 62 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * * * * [misc]progress: [ 63 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 64 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 65 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) * [exit]simplify: Simplified to (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) * * * * [misc]progress: [ 66 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) * * * * [misc]progress: [ 67 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) * [exit]simplify: Simplified to (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) * * * * [misc]progress: [ 68 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) * * * * [misc]progress: [ 69 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) * * * * [misc]progress: [ 70 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * * * * [misc]progress: [ 71 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * * * * [misc]progress: [ 72 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * * * * [misc]progress: [ 73 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (/ 1 (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ 1 (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 74 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (* (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (expm1 (* (/ PI 4) (+ f f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (* (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (expm1 (* (/ PI 4) (+ f f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 75 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (* (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 76 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 77 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 78 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 79 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (log (/ PI 4))) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (log (/ PI 4))) * * * * [misc]progress: [ 81 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ 4 PI))) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ 4 PI))) * * * * [misc]progress: [ 82 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 83 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 4 PI)) * * * * [misc]progress: [ 84 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (* (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4))))) * [exit]simplify: Simplified to (* (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (/ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4))))) * * * * [misc]progress: [ 85 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 86 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) 3) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) 3) * * * * [misc]progress: [ 87 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 88 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * * * * [misc]progress: [ 90 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * * * * [misc]progress: [ 91 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 92 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (* (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (* (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 93 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 94 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))))) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 95 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 96 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f))))) (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f))))) (* (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 97 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 98 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 99 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* f (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* f (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 100 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (/ (- 4) PI) (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 101 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 102 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 103 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 104 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 105 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 106 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 107 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 108 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 109 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 110 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 111 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (log 1) (/ 4 PI)) * [exit]simplify: Simplified to (* (log 1) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 112 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * * * * [misc]progress: [ 113 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (fma (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (/ PI 4)) (+ (+ f f) f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (fma (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (/ PI 4)) (+ (+ f f) f))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (log1p (fma (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))) (exp (* (+ f f) (/ PI 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log1p (fma (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))) (exp (* (+ f f) (/ PI 4))))) (/ PI 4)) * * * * [misc]progress: [ 114 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * * * * [misc]progress: [ 115 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 116 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 117 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ f 4) PI)))) (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ f 4) PI)))) (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 118 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))))))) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))))))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 119 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 120 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* f (/ PI 4))))))) (* (/ 4 PI) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* f (/ PI 4))))))) (* (/ 4 PI) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 121 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 122 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (* (log (/ (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 123 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 124 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 125 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 126 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) (* (/ (- 4) PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 127 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * * * * [misc]progress: [ 128 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * * * * [misc]progress: [ 129 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 130 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * * * * [misc]progress: [ 131 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 132 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * * * * [misc]progress: [ 133 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * * * * [misc]progress: [ 134 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 135 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * * * * [misc]progress: [ 136 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 137 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * * * * [misc]progress: [ 138 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 139 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (fma (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (pow (exp (/ PI 4)) (+ (+ f f) f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (fma (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (pow (exp (/ PI 4)) (+ (+ f f) f))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * * * * [misc]progress: [ 140 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (/ PI 4)) * * * * [misc]progress: [ 141 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 142 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ 4 PI)) * * * * [misc]progress: [ 143 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 144 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 145 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 146 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 147 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 148 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * * * * [misc]progress: [ 149 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) 4) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) 4) * * * * [misc]progress: [ 150 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 151 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (* (/ PI 4) f)) * [exit]simplify: Simplified to (expm1 (* (/ PI 4) f)) * * * * [misc]progress: [ 153 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (* (/ PI 4) f)) * [exit]simplify: Simplified to (log1p (* (/ PI 4) f)) * * * * [misc]progress: [ 154 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 155 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (* (/ PI 4) f)) * [exit]simplify: Simplified to (log (* (/ PI 4) f)) * * * * [misc]progress: [ 156 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (* (/ PI 4) f)) * [exit]simplify: Simplified to (exp (* (/ PI 4) f)) * * * * [misc]progress: [ 157 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) * [exit]simplify: Simplified to (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) * [enter]simplify: Simplifying (cbrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 4) f)) * [exit]simplify: Simplified to (cbrt (* (/ PI 4) f)) * * * * [misc]progress: [ 158 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (pow (* (/ PI 4) f) 3) * [exit]simplify: Simplified to (pow (* (/ PI 4) f) 3) * * * * [misc]progress: [ 159 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * [enter]simplify: Simplifying (sqrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * * * * [misc]progress: [ 160 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) f) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* f (cbrt (/ PI 4))) * [exit]simplify: Simplified to (* f (cbrt (/ PI 4))) * * * * [misc]progress: [ 162 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ PI 4)) f) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* f (sqrt (/ PI 4))) * [exit]simplify: Simplified to (* f (sqrt (/ PI 4))) * * * * [misc]progress: [ 163 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 4) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (/ PI 4) f) * [exit]simplify: Simplified to (* (/ PI 4) f) * * * * [misc]progress: [ 164 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 4) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ f 4) * [exit]simplify: Simplified to (/ f 4) * * * * [misc]progress: [ 165 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* f PI) * [exit]simplify: Simplified to (* f PI) * * * * [misc]progress: [ 166 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* f PI)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * * * [misc]progress: [ 168 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ f 4) PI))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI)))))) * * * * [misc]progress: [ 169 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (- 4) PI)) * * * * [misc]progress: [ 170 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (- (+ (* 4 (/ 1 (* PI f))) (* 1/12 (* f PI))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (* (log (- (fma 1/12 (* f PI) (/ 4 (* f PI))) (* (* (* 1/2880 f) (* PI PI)) (* f (* f PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 171 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))) (/ (- 4) PI)) * * * * [misc]progress: [ 172 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (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))))) (/ (- 4) PI)) * * * * [misc]progress: [ 173 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (+ (* (* (* 1/12 PI) f) (- f)) (- (fma (* PI PI) (* (pow f 4) (* 7/5760 PI)) (* (/ 4 PI) (log f))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 174 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (* PI 1/4))) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (/ (- 1) (pow (exp 1/4) (* PI f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 175 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 176 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* f PI))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (* 1/4 PI) (- f))))))) * * * * [misc]progress: [ 177 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* f PI))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (* 1/4 PI) (- f))))))) * * * * [misc]progress: [ 178 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* f PI))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (* 1/4 PI) (- f))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(f) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 3 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (+ (* 0 0) (* 0 0))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 1/192 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 (pow PI 2)) (* 0 0)))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 1) into 1/61440 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (pow f 2) (pow PI 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow f 4) (pow PI 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (pow f -5)) into (/ 1/61440 (pow f 5)) * [misc]backup-simplify: Simplify (* (pow PI 5) (/ 1/61440 (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) * [misc]backup-simplify: Simplify (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) into (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 3/160 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))))) (pow (/ 1 f) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 2)))))) (pow (/ 1 f) 2)) (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) into (- (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 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 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* -1 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (exp (* 5 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (pow PI 5) (* 1/61440 (exp (* 5 (- (log -1) (log f)))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 2)))))) (pow (/ 1 (- f)) 2)) (+ (* 3 (log (/ 1 (- f)))) (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 3 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* f (* PI PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) f) into (* f (pow PI 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) (* PI PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) 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 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) (/ 1 (/ 1 f))) into (* f (pow PI 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) (* PI PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (pow PI 2)) (/ 1 (/ 1 (- f)))) into (* f (pow PI 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (- (log (/ 4 PI)) (log f)) (/ -4 PI)) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (+ (* 0 0) (* 0 0))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 1/192 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (* 0 (/ -4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 (pow PI 2)) (* 0 0)))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (+ (* 0 0) (* (* 1/48 (pow PI 2)) (/ -4 PI)))) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (* 1/12 PI)) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (+ (* 0 0) (+ (* (* 1/48 (pow PI 2)) 0) (* 0 (/ -4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 1) into 1/61440 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (+ (* 0 0) (+ (* (* 1/48 (pow PI 2)) 0) (+ (* 0 0) (* (* -7/23040 (pow PI 4)) (/ -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 (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI)))) * [misc]approximate: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (/ (- 4) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (/ (- 4) PI)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (/ (- 4) PI)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) (/ -4 PI)) into (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) into (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (* 0 (/ -4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) (/ -4 PI)))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (pow f -5)) into (/ 1/61440 (pow f 5)) * [misc]backup-simplify: Simplify (* (pow PI 5) (/ 1/61440 (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) * [misc]backup-simplify: Simplify (+ (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) 0) (* (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) (/ -4 PI))))) into (+ (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (+ (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) into (+ (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/80 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) PI) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 1/80 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) PI) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5))))) (pow (/ 1 f) 3)) (+ (* (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))) (pow (/ 1 f) 2)) (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)))) * [misc]approximate: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (/ (- 4) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (/ (- 4) PI)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (/ (- 4) PI)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) (/ -4 PI)) into (* -4 (/ (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) PI)) into (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* -1 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (* 0 (/ -4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) (/ -4 PI)))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (exp (* 5 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (pow PI 5) (* 1/61440 (exp (* 5 (- (log -1) (log f)))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) 0) (* (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ -4 PI))))) into (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) (* (exp (* 5 (- (log -1) (log f)))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) (* (exp (* 5 (- (log -1) (log f)))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* PI (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/80 (/ (* PI (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3))))) (pow (/ 1 (- f)) 2)) (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))) PI)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (expm1 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log1p (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log1p (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* f (* PI 1/2))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* f (* PI 1/2))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (+ (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 15 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (log (/ 1 (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (log (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * [exit]simplify: Simplified to (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))) * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) 3) * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 29 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* (log PI) 5) * [exit]simplify: Simplified to (* (log PI) 5) * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (* (* PI f) PI)) * [exit]simplify: Simplified to (expm1 (* (* PI f) PI)) * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (* (* PI f) PI)) * [exit]simplify: Simplified to (log1p (* (* PI f) PI)) * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* (* PI f) PI)) * [exit]simplify: Simplified to (log (* (* PI f) PI)) * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (pow (exp f) (* PI PI)) * [exit]simplify: Simplified to (pow (exp f) (* PI PI)) * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f (* PI PI))) (cbrt (* f (* PI PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* f (* PI PI))) (cbrt (* f (* PI PI)))) * [exit]simplify: Simplified to (* (cbrt (* f (* PI PI))) (cbrt (* f (* PI PI)))) * [enter]simplify: Simplifying (cbrt (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (* PI f) PI)) * [exit]simplify: Simplified to (cbrt (* (* PI f) PI)) * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f (* PI PI)) (* f (* PI PI))) (* f (* PI PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (pow (* f (* PI PI)) 3) * [exit]simplify: Simplified to (pow (* f (* PI PI)) 3) * * * * [misc]progress: [ 47 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * [enter]simplify: Simplifying (sqrt (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* f PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI f) * [exit]simplify: Simplified to (* PI f) * * * * [misc]progress: [ 50 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * * * * [misc]progress: [ 52 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (log (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (+ (log (- (/ 4 PI))) (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [exit]simplify: Simplified to (+ (log (- (/ 4 PI))) (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (log (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) (/ (- 4) PI))) * [exit]simplify: Simplified to (log (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) (/ (- 4) PI))) * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* f (* 1/2 PI))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* f (* 1/2 PI))))) (/ (- 4) PI)) * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (* (* (/ (- 4) PI) (/ (- 4) PI)) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* f PI) PI) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (* (* (/ 4 PI) (/ 4 PI)) (- (/ 4 PI)))) (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* f PI) PI) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* f PI) PI) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (* (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* f PI) PI) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (* (* (/ 4 PI) (/ 4 PI)) (- (/ 4 PI)))) (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* f PI) PI) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* f PI) PI) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) (cbrt (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI)))))) (- (/ 4 PI)))) (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI)))))) (- (/ 4 PI))))) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI)))))) (- (/ 4 PI)))) (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI)))))) (- (/ 4 PI))))) * [enter]simplify: Simplifying (cbrt (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (pow (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* PI PI) f) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (- (/ 4 PI))) 3) * [exit]simplify: Simplified to (pow (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* f (* 1/192 f)) (* (* PI PI) f) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (- (/ 4 PI))) 3) * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * [enter]simplify: Simplifying (sqrt (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4)))) * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* f (* 1/2 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* f (* 1/2 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (* (cbrt (/ (- 4) PI)) (cbrt (/ (- 4) PI)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) (* (cbrt (- (/ 4 PI))) (cbrt (- (/ 4 PI))))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) (* (cbrt (- (/ 4 PI))) (cbrt (- (/ 4 PI))))) * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ (- 4) PI))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (sqrt (/ (- 4) PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (sqrt (/ (- 4) PI))) * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (- 4)) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (- 4)) * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440))))) (/ PI (- 4))) * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 72 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (- 4)) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (- 4)) * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 1/48 (* (pow f 2) (pow PI 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow f 4) (pow PI 4))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (* (- (fma (* (* PI f) (* PI f)) 1/48 (log (/ 4 PI))) (fma 7/23040 (* (pow f 4) (pow PI 4)) (log f))) (/ (- 4) PI)) * * * * [misc]progress: [ 75 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (- (- (log (* 192 (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (- (* 3 (log PI)) (* (log f) (- 3)))) (fma 1/320 (fma (/ (pow (exp 1/4) (* f PI)) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (* f f) (* PI PI)) (/ (* (* (* f f) (* PI PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (/ (/ 96 (* f f)) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (+ (/ (pow (exp -1/4) (* f PI)) (* PI PI)) (/ (pow (exp 1/4) (* f PI)) (* PI PI))))))) * * * * [misc]progress: [ 76 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (/ (- (- (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 3)))) (/ (* (* 1/320 (* (* PI PI) (pow (exp -1/4) (* f PI)))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow f 3)))) (+ (* (* 1/320 (/ (pow (exp 1/4) (* f PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (pow f 3) (* PI PI)))) (+ (/ (/ (* (pow (exp 1/4) (* f PI)) 96) (* PI PI)) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))) (/ (* 96 (pow (exp -1/4) (* f PI))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* (* f f) (* PI PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 77 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 78 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 79 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (pow PI 2)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) PI (* (* (pow f 5) (pow PI 5)) 1/61440)))) (- (/ 4 PI))) * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (pow PI 2)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) PI (* (* (pow f 5) (pow PI 5)) 1/61440)))) (- (/ 4 PI))) * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (pow PI 2)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) PI (* (* (pow f 5) (pow PI 5)) 1/61440)))) (- (/ 4 PI))) * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (+ (* PI (fma (* PI PI) (* (pow f 4) 7/5760) (* (* f f) (- 1/12)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (- (- (fma 1/80 (fma (/ (pow (exp 1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* PI (* f f)) (/ (* (* PI (* f f)) (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (/ (/ (pow (exp 1/4) (* PI f)) (/ (* f f) 384)) (* PI PI)) (* PI (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (* (/ 4 PI) (- (log (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))))) (- (* (/ 12 PI) (- (log f))) (/ (/ (/ (pow (exp -1/4) (* PI f)) (/ (* f f) 384)) (* PI PI)) (* PI (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))) PI)))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (- (+ (fma 384 (/ (pow (exp -1/4) (* PI f)) (* (* (* f f) (pow PI 3)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ (* (* 1/80 (* (pow (exp 1/4) (* PI f)) PI)) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (* (pow f 3) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))))) (fma (/ (pow (exp 1/4) (* PI f)) (* (* (* f f) (pow PI 3)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) 384 (* (* 1/80 (/ (pow (exp -1/4) (* PI f)) (pow f 3))) (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) PI))))) (fma 4 (/ (log (* (/ -192 PI) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (* PI PI)))) PI) (* 12 (/ (log (/ -1 f)) PI)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(f) (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2 3 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (+ (* 0 0) (* 0 0))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 1/192 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 (pow PI 2)) (* 0 0)))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 1) into 1/61440 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (pow f 2) (pow PI 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow f 4) (pow PI 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (pow f -5)) into (/ 1/61440 (pow f 5)) * [misc]backup-simplify: Simplify (* (pow PI 5) (/ 1/61440 (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) * [misc]backup-simplify: Simplify (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) into (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 3/160 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))))) (pow (/ 1 f) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 2)))))) (pow (/ 1 f) 2)) (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) into (- (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 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 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* -1 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (exp (* 5 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (pow PI 5) (* 1/61440 (exp (* 5 (- (log -1) (log f)))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 2)))))) (pow (/ 1 (- f)) 2)) (+ (* 3 (log (/ 1 (- f)))) (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2 3 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* f (* PI PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) f) into (* f (pow PI 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) (* PI PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) 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 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) (/ 1 (/ 1 f))) into (* f (pow PI 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) (* PI PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (pow PI 2)) (/ 1 (/ 1 (- f)))) into (* f (pow PI 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) in f * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (* (- (log (/ 4 PI)) (log f)) -4) into (* -4 (- (log (/ 4 PI)) (log f))) * [misc]backup-simplify: Simplify (/ (* -4 (- (log (/ 4 PI)) (log f))) PI) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]taylor: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) in f * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) -1) (* 0 0)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) (* (pow PI 5) (* 1/61440 (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* f f)) (* f (* PI PI))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* f f)) (* f (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* f f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f 1/2) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 0 (pow PI 2)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow PI 2))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (pow PI 2)) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (* (- (log (/ 4 PI)) (log f)) -4) into (* -4 (- (log (/ 4 PI)) (log f))) * [misc]backup-simplify: Simplify (/ (* -4 (- (log (/ 4 PI)) (log f))) PI) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (+ (* 0 0) (* 0 0))) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 1/192 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 (pow PI 2)) (* 0 0)))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (+ (* 0 0) (* (* 1/48 (pow PI 2)) -4))) into (- (* 1/12 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/12 (pow PI 2))) PI) (+ (* (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (* 1/12 PI)) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (+ (* 0 0) (+ (* (* 1/48 (pow PI 2)) 0) (* 0 -4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 1/12 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 1) into 1/61440 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 4 PI)) (log f)) 0) (+ (* 0 0) (+ (* (* 1/48 (pow PI 2)) 0) (+ (* 0 0) (* (* -7/23040 (pow PI 4)) -4))))) into (* 7/5760 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ (* 7/5760 (pow PI 4)) PI) (+ (* (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 1/12 PI)) (/ 0 PI)) (* 0 (/ 0 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 (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI)))) * [misc]approximate: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (- 4)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (- 4)) PI) in f * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (- 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) -4) into (* -4 (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (/ (* -4 (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) PI) into (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]taylor: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (- 4)) PI) in f * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) (- 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 f)))) (exp (* (/ 1 f) (/ PI 4)))) 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 (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI)) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 f) (/ 1 f))) (* (/ 1 f) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) -4) into (* -4 (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) * [misc]backup-simplify: Simplify (/ (* -4 (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f)))) PI) into (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) into (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) -4))) into (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (/ (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2))))) PI) (+ (* (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (pow f -5)) into (/ 1/61440 (pow f 5)) * [misc]backup-simplify: Simplify (* (pow PI 5) (/ 1/61440 (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) 0) (* (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))))) -4)))) into (+ (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) PI) (+ (* (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) (/ 0 PI)))) into (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) into (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 1/80 (/ (* (exp (* -1/4 (/ PI f))) PI) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/80 (/ (* PI (exp (* 1/4 (/ PI (/ 1 f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 1/80 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) PI) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5))))) (pow (/ 1 f) 3)) (+ (* (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))) (pow (/ 1 f) 2)) (* -4 (/ (+ (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)))) * [misc]approximate: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (- 4)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (- 4)) PI) in f * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (- 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) -4) into (* -4 (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) * [misc]backup-simplify: Simplify (/ (* -4 (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) PI) into (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]taylor: Taking taylor expansion of (/ (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (- 4)) PI) in f * [misc]taylor: Taking taylor expansion of (* (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) (- 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (- (/ 1 (- f))))) (exp (* (/ 1 (- f)) (/ PI 4)))) 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 (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (- (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI)) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) (* PI PI))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI 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 PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (* 1/61440 (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (* 1/61440 (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1 (pow PI 2)) into (* -1 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/192 (* -1 (pow PI 2))) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (- 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) -4) into (* -4 (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) * [misc]backup-simplify: Simplify (/ (* -4 (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))))) PI) into (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) into (* -4 (/ (+ (* 3 (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) PI)) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* -1 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) -4))) into (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (/ (+ (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2))))) PI) (+ (* (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1/61440 (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (exp (* 5 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (pow PI 5) (* 1/61440 (exp (* 5 (- (log -1) (log f)))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ (* (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) 0) (+ (* 0 0) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 2)))))) 0) (* (* 1/6 (+ (* 3/160 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) -4)))) into (- (+ (* 1/80 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/80 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI) (+ (* (* -4 (/ (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) (/ 0 PI)))) into (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* PI (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* PI (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) (* (exp (* 5 (- (log -1) (log f)))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) PI)) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3))))) (pow (/ 1 (- f)) 2)) (* -4 (/ (+ (* 3 (log (/ 1 (- f)))) (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3))))) PI)))) into (- (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))) PI)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (expm1 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log1p (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log1p (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 f) PI) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* f (* PI 1/2))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* f (* PI 1/2))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (+ (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))) (cbrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* 1/192 (* f PI)) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (cbrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (* (pow f 5) 1/61440) (pow PI 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2)))))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (- (log (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (cbrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (sqrt (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (log (/ 1 (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (log (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * [exit]simplify: Simplified to (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) 3) * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* f PI) (* (* (* f PI) (* f PI)) 1/192) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* (log PI) 5) * [exit]simplify: Simplified to (* (log PI) 5) * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (* (* PI f) PI)) * [exit]simplify: Simplified to (expm1 (* (* PI f) PI)) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (* (* PI f) PI)) * [exit]simplify: Simplified to (log1p (* (* PI f) PI)) * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* (* PI f) PI)) * [exit]simplify: Simplified to (log (* (* PI f) PI)) * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (pow (exp f) (* PI PI)) * [exit]simplify: Simplified to (pow (exp f) (* PI PI)) * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f (* PI PI))) (cbrt (* f (* PI PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* f (* PI PI))) (cbrt (* f (* PI PI)))) * [exit]simplify: Simplified to (* (cbrt (* f (* PI PI))) (cbrt (* f (* PI PI)))) * [enter]simplify: Simplifying (cbrt (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (* PI f) PI)) * [exit]simplify: Simplified to (cbrt (* (* PI f) PI)) * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f (* PI PI)) (* f (* PI PI))) (* f (* PI PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (pow (* f (* PI PI)) 3) * [exit]simplify: Simplified to (pow (* f (* PI PI)) 3) * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * [enter]simplify: Simplifying (sqrt (* f (* PI PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * [exit]simplify: Simplified to (sqrt (* (* PI f) PI)) * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* f PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI f) * [exit]simplify: Simplified to (* PI f) * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (expm1 (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (expm1 (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (log1p (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (log1p (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (log (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (log (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (exp (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* f PI) PI) (* (* f PI) (* 1/192 f)) (* (* f PI) 1/2))))) (/ PI (- 4)))) * [exit]simplify: Simplified to (exp (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* f PI) PI) (* (* f PI) (* 1/192 f)) (* (* f PI) 1/2))))) (/ PI (- 4)))) * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) (cbrt (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI)))))))) (cbrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI))))))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI)))))))) (cbrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* f (* f PI)) (* (* f PI) (* PI 1/192)) (* 1/2 (* f PI))))))))) * [enter]simplify: Simplifying (cbrt (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (cbrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* f (* 1/192 f)) (* (* PI PI) f) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) 3) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* f (* 1/192 f)) (* (* PI PI) f) (* f 1/2)) PI (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ PI (- 4))) 3) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (sqrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [enter]simplify: Simplifying (sqrt (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [exit]simplify: Simplified to (sqrt (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (fma (* f PI) (* (* f PI) (* 1/192 f)) (* f 1/2)) PI (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) 4) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* 1/2 PI) f))))) 4) * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [exit]simplify: Simplified to (/ 1 PI) * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (/ PI (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* PI 1/192) f) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (- 4)) * [exit]simplify: Simplified to (/ (/ PI (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* PI 1/192) f) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (- 4)) * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) 4) PI) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* (pow PI 5) (pow f 5)) 1/61440 (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* (pow PI 5) (pow f 5)) 1/61440 (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* f PI) 1/2))))) (/ PI 4)) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- 4)) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ PI (- 4)) * [exit]simplify: Simplified to (/ PI (- 4)) * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (+ (* 1/48 (* (pow f 2) (pow PI 2))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow f 4) (pow PI 4))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (- (fma (* (* PI f) (* PI f)) 1/48 (log (/ 4 PI))) (fma 7/23040 (* (pow f 4) (pow PI 4)) (log f)))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (414 enodes) * [exit]simplify: Simplified to (/ (- (- (log (* 192 (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (- (* 3 (log PI)) (* (log f) (- 3)))) (fma 1/320 (fma (/ (pow (exp 1/4) (* f PI)) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (* (* f f) (* PI PI)) (/ (* (* (* f f) (* PI PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (/ (/ 96 (* f f)) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (+ (/ (pow (exp -1/4) (* f PI)) (* PI PI)) (/ (pow (exp 1/4) (* f PI)) (* PI PI)))))) (/ PI (- 4))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))) (+ (* 1/320 (/ (* (exp (* 1/4 (* PI f))) (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 3)))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow f 2))))))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (/ (- (- (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 3)))) (/ (* (* 1/320 (* (* PI PI) (pow (exp -1/4) (* f PI)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow f 3)))) (+ (+ (/ (* (/ (pow (exp -1/4) (* f PI)) (* PI PI)) 96) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))) (/ (/ (* (pow (exp 1/4) (* f PI)) 96) (* PI PI)) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f)))) (* (* 1/320 (/ (pow (exp 1/4) (* f PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (pow f 3) (* PI PI)))))) (/ PI (- 4))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* PI 1/192) f) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* PI 1/192) f) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (pow f 5) (* (pow PI 5) 1/61440) (fma (* (* PI 1/192) f) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (pow PI 2)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) PI (* (* (pow f 5) (pow PI 5)) 1/61440))))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (pow PI 2)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) PI (* (* (pow f 5) (pow PI 5)) 1/61440))))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (pow PI 2)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) PI) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) PI (* (* (pow f 5) (pow PI 5)) 1/61440))))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (+ (* PI (fma (* PI PI) (* (pow f 4) 7/5760) (* (* f f) (- 1/12)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* (pow f 2) PI)) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI)))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (- (- (fma 1/80 (fma (/ (pow (exp 1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* PI (* f f)) (/ (* (* PI (* f f)) (pow (exp -1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (/ (/ (pow (exp 1/4) (* PI f)) (/ (* f f) 384)) (* PI PI)) (* PI (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (* (/ 4 PI) (- (log (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (- (* 3 (log PI)) (log 192))))) (- (* (/ 12 PI) (- (log f))) (/ (/ (/ (pow (exp -1/4) (* PI f)) (/ (* f f) 384)) (* PI PI)) (* PI (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (+ (* 1/80 (/ (* (exp (* 1/4 (* PI f))) (* PI (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (* 384 (/ (exp (* -1/4 (* PI f))) (* (pow f 2) (* (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))))))) (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (* -192 (/ (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (pow PI 3)))) PI)))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (- (+ (fma 384 (/ (pow (exp -1/4) (* PI f)) (* (* (* f f) (pow PI 3)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ (* (* 1/80 (* (pow (exp 1/4) (* PI f)) PI)) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (* (pow f 3) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))))) (fma (/ (pow (exp 1/4) (* PI f)) (* (* (* f f) (pow PI 3)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) 384 (* (* 1/80 (/ (pow (exp -1/4) (* PI f)) (pow f 3))) (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) PI))))) (fma 4 (/ (log (* (/ -192 PI) (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (* PI PI)))) PI) (* 12 (/ (log (/ -1 f)) PI)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(f) (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 2 3 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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) (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* (- PI) (/ f 4)) in f * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* (- PI) 1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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) (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* (- PI) (/ f 4)) in f * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* (- PI) 1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) 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 (- PI) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- PI) 0) (* 0 1/4)) 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 (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 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 (+ (* (* 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 (- PI) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- PI) 0) (+ (* 0 0) (* 0 1/4))) 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 (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 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 (+ (* (* 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 (- PI) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [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 (+ (* (- PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) 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 (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 24) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) (pow f 2)) (log (sqrt 2)))) into (- (+ (log (sqrt 2)) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (- PI) (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* (- PI) (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* (- PI) 1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- PI) (/ (/ 1 f) 4))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (- PI) (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (- PI) (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* (- PI) (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* (- PI) 1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- PI) (/ (/ 1 f) 4))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 f)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 f)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 f)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 f)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 f)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 f)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 f)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 f)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 f)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 f)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f)))))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (- PI) (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* (- PI) (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* (- PI) -1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- PI) (/ (/ 1 (- f)) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (- PI) (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (- PI) (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* (- PI) (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* (- PI) -1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- PI) (/ (/ 1 (- f)) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 f)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 f)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 f)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 f)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 f)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 f)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 f)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 f)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 f)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 f)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f)))))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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 (* (/ f 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ f 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) 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 (fma (* f PI) (* (* f PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (* (* f PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* f PI) (* (* f PI) 1/192)) 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 (* (* f PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/192)) into (* 1/192 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 PI)) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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 (* (/ f 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ f 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) 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 (fma (* f PI) (* (* f PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (* (* f PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* f PI) (* (* f PI) 1/192)) 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 (* (* f PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/192)) into (* 1/192 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 PI)) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 2 (/ (sqrt 2) PI)))) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (- (log (* 2 (/ (sqrt 2) PI))) (log f)) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 PI)) (* 0 0))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 2))) (+ (* PI 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- PI))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 PI)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 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 (+ (* (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 PI)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 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 (+ (* (* 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 (- 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 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/192 PI)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ (sqrt 2) PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2)))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 24) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (+ (* 1/1920 (pow PI 4)) (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2)))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (+ (* 1/1920 (pow PI 4)) (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2)))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) (pow f 2)) (- (log (* 2 (/ (sqrt 2) PI))) (log f)))) into (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/46080 (* (pow f 4) (pow PI 4))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2)))))) (+ (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4))) (+ (* 1/96 (* (pow PI 2) (pow f 2))) (log f)))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 f) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 f) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 f) 4) (- PI))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) 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 (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 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 (* (* (/ 1 f) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* PI (* 1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) into (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 f) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 f) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 f) 4) (- PI))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) 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 (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 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 (* (* (/ 1 f) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* PI (* 1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) into (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))))) into (+ (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) (* 3 (log f))) into (+ (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) (* 3 (log f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (* 1/192 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [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 (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))))) 1)) (pow (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ -96 (pow PI 2)) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/192 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))))) 1)) (pow (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (* (pow f 5) PI)))))) 1)) (pow (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 1)))) 6) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (* -1/320 (/ (pow PI 2) (pow f 5))) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* (* -1/320 (/ (pow PI 2) (pow (/ 1 f) 5))) (pow (/ 1 f) 3)) (+ (* (/ -96 (pow PI 2)) (pow (/ 1 f) 2)) (+ (log (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))) (/ 1 (pow PI 3))))) (* 3 (log (/ 1 f)))))) into (- (+ (log (* 192 (* (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) (/ 1 (pow PI 3))))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (* (pow f 2) (pow PI 2))) (* 96 (/ 1 (* (pow PI 2) (pow f 2)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- f)) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- f)) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* -1/4 (- PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- f)) 4) (- PI))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) 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 (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 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 (* (* (/ 1 (- f)) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) 1/192) into (* -1/192 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) into (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- f)) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- f)) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* -1/4 (- PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- f)) 4) (- PI))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) 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 (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 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 (* (* (/ 1 (- f)) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) 1/192) into (* -1/192 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) into (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))))) into (+ (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) (* 3 (log f))) into (+ (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3))))) (* 3 (log f))) * [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 (+ (* (* -1 PI) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* -1/192 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 (* -1/192 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (* -1 PI) 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) 1)) (pow (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ -96 (pow PI 2)) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1/192 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (* -1 PI) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ (exp (* 5 (- (log -1) (log f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) 1)) (pow (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ (exp (* 5 (- (log -1) (log f)))) PI))))) 1)) (pow (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) 1)))) 6) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/320 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (pow PI 2))) (pow (/ 1 (- f)) 3)) (+ (* (/ -96 (pow PI 2)) (pow (/ 1 (- f)) 2)) (+ (log (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (/ 1 (pow PI 3))))) (* 3 (log (/ 1 (- f))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (* (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))) (/ 1 (pow PI 3)))))) (+ (* 96 (/ 1 (* (pow PI 2) (pow f 2)))) (* 1/320 (/ (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 2 3 2 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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 (* (/ f 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ f 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) 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 (fma (* f PI) (* (* f PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (* (* f PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* f PI) (* (* f PI) 1/192)) 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 (* (* f PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/192)) into (* 1/192 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 PI)) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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 (* (/ f 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ f 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) (* 1/61440 (* (pow f 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2)) 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 (fma (* f PI) (* (* f PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* f PI) (* (* f PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* f PI) (* (* f PI) 1/192)) 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 (* (* f PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 1/192) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/192)) into (* 1/192 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 PI)) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 2 (/ (sqrt 2) PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 PI)) (* 0 0))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 2))) (+ (* PI 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- PI))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 PI)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 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 (+ (* (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 PI)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 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 (+ (* (* 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 (- 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 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/192 PI)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2))))) into (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2))))) (pow f 3)) (+ (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) f) (* (* 2 (/ (sqrt 2) PI)) (/ 1 f)))) into (- (+ (* 1/16 (/ (* PI f) (sqrt 2))) (+ (* 7/46080 (* (pow f 3) (* (sqrt 2) (pow PI 3)))) (* 2 (/ (sqrt 2) (* f PI))))) (+ (* 1/3072 (/ (* (pow f 3) (pow PI 3)) (sqrt 2))) (+ (* 1/1024 (/ (* (pow f 3) (pow PI 3)) (pow (sqrt 2) 3))) (* 1/48 (* f (* (sqrt 2) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 f) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 f) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 f) 4) (- PI))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) 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 (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 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 (* (* (/ 1 f) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* PI (* 1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (* (/ (/ 1 f) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 f) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 f) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* 1/4 (- PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 f) 4) (- PI))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2)) 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 (fma (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (* (* (/ 1 f) PI) 1/192)) 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 (* (* (/ 1 f) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* PI (* 1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) into (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (* 1/192 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [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 (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) into (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/192 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (* (pow f 5) PI))))) into (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (* PI (pow f 5)))))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))) (/ 1 (* PI (pow (/ 1 f) 5)))))) (pow (/ 1 f) 6)) (+ (* (- (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))) (/ 1 (pow PI 5))))) (pow (/ 1 f) 5)) (* (* 192 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))) (/ 1 (pow PI 3)))) (pow (/ 1 f) 3)))) into (- (* 192 (* (/ 1 (* (pow f 3) (pow PI 3))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 3/5 (* (/ 1 (* f PI)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow f 5) (pow PI 5))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- f)) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- f)) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* -1/4 (- PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- f)) 4) (- PI))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) 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 (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 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 (* (* (/ 1 (- f)) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) 1/192) into (* -1/192 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (* (/ (/ 1 (- f)) 4) (- PI)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in 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 (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- f)) 4) (- PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- f)) 4) (- PI)) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]taylor: Taking taylor expansion of (- PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (* -1/4 (- PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- f)) 4) (- PI))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 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 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2)) 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 (fma (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 1/2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (* (* (/ 1 (- f)) PI) 1/192)) 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 (* (* (/ 1 (- f)) PI) 1/192) 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 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) 1/192) into (* -1/192 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1/192 PI)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) into (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) * [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 (+ (* (* -1 PI) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* -1/192 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 (* -1/192 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (* -1 PI) 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))) into (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1/192 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (* -1 PI) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 3)))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 1 (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ (exp (* 5 (- (log -1) (log f)))) PI)))) * [misc]backup-simplify: Simplify (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ (exp (* 5 (- (log -1) (log f)))) PI)))) into (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ (exp (* 5 (- (log -1) (log f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/5 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (/ (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) PI)))) (pow (/ 1 (- f)) 6)) (+ (* (* 18432 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (/ 1 (pow PI 5)))) (pow (/ 1 (- f)) 5)) (* (* -192 (* (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (/ 1 (pow PI 3)))) (pow (/ 1 (- f)) 3)))) into (- (* 192 (* (/ 1 (* (pow f 3) (pow PI 3))) (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (+ (* 3/5 (* (/ (exp (* 5 (- (log -1) (log (/ -1 f))))) (* PI (pow f 6))) (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow f 5) (pow PI 5))) (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (expm1 (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (expm1 (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log1p (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log1p (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (fabs (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (fabs (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (sqrt (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [exit]simplify: Simplified to (log (sqrt 1)) * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [exit]simplify: Simplified to (log (sqrt 1)) * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (pow (exp f) (/ PI 4)) 3) (pow (exp (* (- PI) (/ f 4))) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (pow (exp f) (/ PI 4)) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (pow (exp (/ f 4)) (- (- PI) (+ PI PI)))))) * [exit]simplify: Simplified to (log (sqrt (fma (pow (exp f) (/ PI 4)) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (pow (exp (/ f 4)) (- (- PI) (+ PI PI)))))) * [enter]simplify: Simplifying (log (sqrt (+ (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (- (* (exp (* (- PI) (/ f 4))) (exp (* (- PI) (/ f 4)))) (* (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (exp (/ (- PI) (/ 4 f))) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (fma (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (exp (/ (- PI) (/ 4 f))) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (* (exp (* (- PI) (/ f 4))) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (log (sqrt (- (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (pow (exp (/ f 4)) (- (- PI) PI))))) * [exit]simplify: Simplified to (log (sqrt (- (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (pow (exp (/ f 4)) (- (- PI) PI))))) * [enter]simplify: Simplifying (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (log (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (log (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (cbrt (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))))) (cbrt (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (* (cbrt (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))))) (cbrt (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (cbrt (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (cbrt (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (pow (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) 3) * [exit]simplify: Simplified to (pow (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) 3) * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (sqrt (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (log (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [exit]simplify: Simplified to (log (sqrt 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [exit]simplify: Simplified to (log (sqrt 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5)))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (- (log (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (- (log (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (log (/ 1 (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (- (log (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [exit]simplify: Simplified to (- (log (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))) * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (log (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (log (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5))))) * [exit]simplify: Simplified to (log (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) 3) * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* (log PI) 5) * [exit]simplify: Simplified to (* (log PI) 5) * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (expm1 (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (expm1 (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (log1p (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (log1p (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (log (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (log (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (log (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (exp (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (* (* (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440)))) (/ (* (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440)))) (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440)))) (/ (* (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* (pow PI 5) 1/61440)))) (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (/ (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) (/ (* (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) (/ (* (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (- (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (- (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (- f) PI) (* (* 1/61440 (pow f 5)) (- (pow PI 5)))) * [exit]simplify: Simplified to (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (- f) PI) (* (* 1/61440 (pow f 5)) (- (pow PI 5)))) * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))))) (sqrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow PI 5) (* 1/61440 (pow f 5)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (cbrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) * [exit]simplify: Simplified to (/ 1 (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (/ 1 (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* f PI) (* 1/192 (* f PI)) 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (fma (* PI f) (* (* PI f) 1/192) 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (+ (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (- (* (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) (- PI)))) (* (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (fma (exp (/ (- PI) (/ 4 f))) (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (fma (exp (/ (- PI) (/ 4 f))) (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (* (fma (fma (* (* PI f) (* PI f)) 1/192 1/2) (* PI f) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (- (+ (log (sqrt 2)) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (* (+ (fma 1/32 (/ (* (* PI f) (* PI f)) 2) (* (/ 1/6144 2) (* (pow f 4) (pow PI 4)))) (- (log (sqrt 2)) (/ 1/1024 (/ (pow (sqrt 2) 4) (* (pow f 4) (pow PI 4)))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (/ (- (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))))) (- (log (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow f 5)) (pow PI 5)))) (log (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (/ (- (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))))) (- (log (fma (fma (* (* f PI) (* f PI)) 1/192 1/2) (* f PI) (* (* 1/61440 (pow f 5)) (pow PI 5)))) (log (sqrt (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/46080 (* (pow f 4) (pow PI 4))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2)))))) (+ (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4))) (+ (* 1/96 (* (pow PI 2) (pow f 2))) (log f))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (* (+ (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (+ (fma (* (pow f 4) (pow PI 4)) 1/46080 (log (* (/ 2 PI) (sqrt 2)))) (- (fma (* (/ f (/ 2 f)) (* PI PI)) 1/32 (* (/ (pow f 4) 2) (* 1/6144 (pow PI 4)))) (fma 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)) (fma 1/96 (* (* f f) (* PI PI)) (log f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (+ (log (* 192 (* (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) (/ 1 (pow PI 3))))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (* (pow f 2) (pow PI 2))) (* 96 (/ 1 (* (pow PI 2) (pow f 2))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (fma (+ (- (log (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* 3 (log PI))) (+ (log 192) (- (* (log f) (- 3)) (fma (* (* PI PI) (* f f)) 1/320 (/ (/ 96 PI) (* PI (* f f))))))) (- (/ 4 PI)) (* (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (+ (* 3 (log (/ -1 f))) (log (* -192 (* (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))) (/ 1 (pow PI 3)))))) (+ (* 96 (/ 1 (* (pow PI 2) (pow f 2)))) (* 1/320 (/ (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (fma (- (- (log (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (- (* 3 (log PI)) (log -192))) (- (fma (* (/ (* PI PI) (pow f 3)) (pow (exp 5) (+ 0 (log f)))) 1/320 (/ 96 (* (* PI PI) (* f f)))) (* (log (/ -1 f)) 3))) (- (/ 4 PI)) (* (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))))) * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ (- 4) PI) (* (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (/ (- 4) PI))) * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ (- 4) PI) (* (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (/ (- 4) PI))) * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (fma (* f PI) (fma (* f PI) (* (* f PI) 1/192) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ (- 4) PI) (* (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (/ (- 4) PI))) * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (- (+ (* 1/16 (/ (* PI f) (sqrt 2))) (+ (* 7/46080 (* (pow f 3) (* (sqrt 2) (pow PI 3)))) (* 2 (/ (sqrt 2) (* f PI))))) (+ (* 1/3072 (/ (* (pow f 3) (pow PI 3)) (sqrt 2))) (+ (* 1/1024 (/ (* (pow f 3) (pow PI 3)) (pow (sqrt 2) 3))) (* 1/48 (* f (* (sqrt 2) PI)))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (fma (* (* (* f f) 7/46080) (* (* PI PI) (* f PI))) (sqrt 2) (fma (/ (sqrt 2) (* f PI)) 2 (* (/ (* f PI) (sqrt 2)) 1/16))) (fma (* 1/48 (* f PI)) (sqrt 2) (* (/ (* (* PI PI) (* f PI)) (/ (sqrt 2) (* f f))) (+ 1/3072 (/ 1/1024 2)))))) (* (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (- (* 192 (* (/ 1 (* (pow f 3) (pow PI 3))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 3/5 (* (/ 1 (* f PI)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow f 5) (pow PI 5))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (* (sqrt (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (- (- (* (/ 192 (pow f 3)) (/ (/ 1 PI) (* PI PI))) (/ 3/5 (* f PI))) (/ 18432 (* (pow f 5) (pow PI 5)))))) (* (log (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (log (- (* 192 (* (/ 1 (* (pow f 3) (pow PI 3))) (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (+ (* 3/5 (* (/ (exp (* 5 (- (log -1) (log (/ -1 f))))) (* PI (pow f 6))) (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow f 5) (pow PI 5))) (sqrt (+ (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (fma (log (* (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* (/ 192 (pow f 3)) (/ (/ 1 PI) (* PI PI))) (fma (/ (pow (exp 5) (+ 0 (log f))) (* PI (pow f 6))) 3/5 (/ (/ 18432 (pow f 5)) (pow PI 5)))))) (/ (- 4) PI) (* (/ (- 4) PI) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (* (/ 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 (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma PI (fma (* 1/192 (* f f)) (* f (* PI PI)) (* f 1/2)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- 4)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* f f) 1/192) (* (* PI PI) f) (* f 1/2)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- 4)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* f f) 1/192) (* (* PI PI) f) (* f 1/2)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- 4)) * * * * [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 5959 additional inputs, on iter 1 have 2041 / 8000 * * * * [misc]points: Computing exacts on every 372 of 5959 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 186 of 5959 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 93 of 5959 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 5959 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 5959 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 5959 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 5959 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 5959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 5959 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 4417 additional inputs, on iter 2 have 3583 / 8000 * * * * [misc]points: Computing exacts on every 276 of 4417 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 138 of 4417 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 4417 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 4417 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 4417 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 4417 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 4417 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 4417 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4417 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 3272 additional inputs, on iter 3 have 4728 / 8000 * * * * [misc]points: Computing exacts on every 204 of 3272 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 102 of 3272 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 3272 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 3272 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 3272 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 3272 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 3272 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3272 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 2444 additional inputs, on iter 4 have 5556 / 8000 * * * * [misc]points: Computing exacts on every 152 of 2444 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 76 of 2444 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 2444 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 2444 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 2444 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 2444 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 2444 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2444 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 1824 additional inputs, on iter 5 have 6176 / 8000 * * * * [misc]points: Computing exacts on every 114 of 1824 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 1824 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 1824 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 1824 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 1824 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 1824 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1824 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 1347 additional inputs, on iter 6 have 6653 / 8000 * * * * [misc]points: Computing exacts on every 84 of 1347 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 1347 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 1347 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 1347 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 1347 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 1347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1347 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 963 additional inputs, on iter 7 have 7037 / 8000 * * * * [misc]points: Computing exacts on every 60 of 963 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 30 of 963 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 963 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 963 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 963 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 963 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 725 additional inputs, on iter 8 have 7275 / 8000 * * * * [misc]points: Computing exacts on every 45 of 725 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 22 of 725 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 725 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 725 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 725 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 725 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 531 additional inputs, on iter 9 have 7469 / 8000 * * * * [misc]points: Computing exacts on every 33 of 531 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 531 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 531 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 531 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 531 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 531 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 384 additional inputs, on iter 10 have 7616 / 8000 * * * * [misc]points: Computing exacts on every 24 of 384 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 384 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 384 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 384 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 384 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 279 additional inputs, on iter 11 have 7721 / 8000 * * * * [misc]points: Computing exacts on every 17 of 279 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 279 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 279 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 279 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 279 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 216 additional inputs, on iter 12 have 7784 / 8000 * * * * [misc]points: Computing exacts on every 13 of 216 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 216 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 216 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 216 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 158 additional inputs, on iter 13 have 7842 / 8000 * * * * [misc]points: Computing exacts on every 9 of 158 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 158 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 158 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 158 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 120 additional inputs, on iter 14 have 7880 / 8000 * * * * [misc]points: Computing exacts on every 7 of 120 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 120 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 120 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 84 additional inputs, on iter 15 have 7916 / 8000 * * * * [misc]points: Computing exacts on every 5 of 84 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 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 84 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 61 additional inputs, on iter 16 have 7939 / 8000 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 61 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 35 additional inputs, on iter 18 have 7965 / 8000 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 35 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 25 additional inputs, on iter 19 have 7975 / 8000 * * * * [misc]points: Computing exacts for 25 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 20 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 13 additional inputs, on iter 21 have 7987 / 8000 * * * * [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 9 additional inputs, on iter 22 have 7991 / 8000 * * * * [misc]points: Computing exacts for 9 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 4 additional inputs, on iter 24 have 7996 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 7998 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 7999 / 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